Solve (0+3)^2=32(y+2)

$$( 0 + 3 ) ^ { 2 } = 32 ( y + 2 )$$

Solve for y

$$y = -\frac{55}{32} = -1\frac{23}{32} = -1.71875$$

Steps for Solving Linear Equation

Add 0 and 3 to get 3.

$$3^{2}=32\left(y+2\right)$$

Calculate 3 to the power of 2 and get 9.

$$9=32\left(y+2\right)$$

Use the distributive property to multiply 32 by y+2.

$$9=32y+64$$

Swap sides so that all variable terms are on the left hand side.

$$32y+64=9$$

Subtract 64 from both sides.

$$32y=9-64$$

Subtract 64 from 9 to get -55.

$$32y=-55$$

Divide both sides by 32.

$$y=\frac{-55}{32}$$

Fraction \frac{-55}{32} can be rewritten as -\frac{55}{32} by extracting the negative sign.

$$y=-\frac{55}{32}$$