Solve for y 20y+14+5y-24=12-21y-10

$20 y + 14 + 5 y - 24 = 12 - 21 y - 10$

Step 1

Simplify $20 y + 14 + 5 y - 24$ .

Add $20 y$ and $5 y$ .

$25 y + 14 - 24 = 12 - 21 y - 10$

Subtract $24$ from $14$ .

$25 y - 10 = 12 - 21 y - 10$

Step 2

Subtract $10$ from $12$ .

$25 y - 10 = - 21 y + 2$

Step 3

Move all terms containing $y$ to the left side of the equation.

Add $21 y$ to both sides of the equation.

$25 y - 10 + 21 y = 2$

Add $25 y$ and $21 y$ .

$46 y - 10 = 2$

Step 4

Move all terms not containing $y$ to the right side of the equation.

Add $10$ to both sides of the equation.

$46 y = 2 + 10$

Add $2$ and $10$ .

$46 y = 12$

Step 5

Divide each term in $46 y = 12$ by $46$ and simplify.

Divide each term in $46 y = 12$ by $46$ .

$\frac{46 y}{46} = \frac{12}{46}$

Simplify the left side.

Cancel the common factor of $46$ .

Cancel the common factor.

$\frac{46 y}{46} = \frac{12}{46}$

Divide $y$ by $1$ .

$y = \frac{12}{46}$

Simplify the right side.

Cancel the common factor of $12$ and $46$ .

Factor $2$ out of $12$ .

$y = \frac{2 (6)}{46}$

Cancel the common factors.

Factor $2$ out of $46$ .

$y = \frac{2 \cdot 6}{2 \cdot 23}$

Cancel the common factor.

$y = \frac{2 \cdot 6}{2 \cdot 23}$

Rewrite the expression.

$y = \frac{6}{23}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$y = \frac{6}{23}$

Decimal Form:

$y = 0.26086956 \dots$

Solve for y 20y+14+5y-24=12-21y-10

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