Solve 8left(y+3right)-7=36-(2y+4)

$$8 \left( y+3 \right) -7 = 36-(2y+4)$$

Solve for y

$$y = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by y+3.

$$8y+24-7=36-\left(2y+4\right)$$

Subtract 7 from 24 to get 17.

$$8y+17=36-\left(2y+4\right)$$

To find the opposite of 2y+4, find the opposite of each term.

$$8y+17=36-2y-4$$

Subtract 4 from 36 to get 32.

$$8y+17=32-2y$$

Add 2y to both sides.

$$8y+17+2y=32$$

Combine 8y and 2y to get 10y.

$$10y+17=32$$

Subtract 17 from both sides.

$$10y=32-17$$

Subtract 17 from 32 to get 15.

$$10y=15$$

Divide both sides by 10.

$$y=\frac{15}{10}$$

Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$y=\frac{3}{2}$$