Solve for y 6(2y-1)-2(2y)=14

$6 (2 y - 1) - 2 (2 y) = 14$

Step 1

Simplify $6 (2 y - 1) - 2 \cdot (2 y)$ .

Simplify each term.

Apply the distributive property.

$6 (2 y) + 6 \cdot - 1 - 2 \cdot (2 y) = 14$

Multiply $2$ by $6$ .

$12 y + 6 \cdot - 1 - 2 \cdot (2 y) = 14$

Multiply $6$ by $- 1$ .

$12 y - 6 - 2 \cdot (2 y) = 14$

Multiply $2$ by $- 2$ .

$12 y - 6 - 4 y = 14$

Subtract $4 y$ from $12 y$ .

$8 y - 6 = 14$

Step 2

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

Add $6$ to both sides of the equation.

$8 y = 14 + 6$

Add $14$ and $6$ .

$8 y = 20$

Step 3

Divide each term in $8 y = 20$ by $8$ and simplify.

Divide each term in $8 y = 20$ by $8$ .

$\frac{8 y}{8} = \frac{20}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 y}{8} = \frac{20}{8}$

Divide $y$ by $1$ .

$y = \frac{20}{8}$

Simplify the right side.

Cancel the common factor of $20$ and $8$ .

Factor $4$ out of $20$ .

$y = \frac{4 (5)}{8}$

Cancel the common factors.

Factor $4$ out of $8$ .

$y = \frac{4 \cdot 5}{4 \cdot 2}$

Cancel the common factor.

$y = \frac{4 \cdot 5}{4 \cdot 2}$

Rewrite the expression.

$y = \frac{5}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{5}{2}$

Decimal Form:

$y = 2.5$

Mixed Number Form:

$y = 2 \frac{1}{2}$

Solve for y 6(2y-1)-2(2y)=14

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