Solve for y -6x+2y=42

$- 6 x + 2 y = 42$

Step 1

Add $6 x$ to both sides of the equation.

$2 y = 42 + 6 x$

Step 2

Divide each term in $2 y = 42 + 6 x$ by $2$ and simplify.

Divide each term in $2 y = 42 + 6 x$ by $2$ .

$\frac{2 y}{2} = \frac{42}{2} + \frac{6 x}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{42}{2} + \frac{6 x}{2}$

Divide $y$ by $1$ .

$y = \frac{42}{2} + \frac{6 x}{2}$

$y = \frac{42}{2} + \frac{6 x}{2}$

$y = \frac{42}{2} + \frac{6 x}{2}$

Simplify the right side.

Simplify each term.

Divide $42$ by $2$ .

$y = 21 + \frac{6 x}{2}$

Cancel the common factor of $6$ and $2$ .

Factor $2$ out of $6 x$ .

$y = 21 + \frac{2 (3 x)}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$y = 21 + \frac{2 (3 x)}{2 (1)}$

Cancel the common factor.

$y = 21 + \frac{2 (3 x)}{2 \cdot 1}$

Rewrite the expression.

$y = 21 + \frac{3 x}{1}$

Divide $3 x$ by $1$ .

$y = 21 + 3 x$

$y = 21 + 3 x$

$y = 21 + 3 x$

$y = 21 + 3 x$

$y = 21 + 3 x$

$y = 21 + 3 x$

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