4(y+6)=-4y+32

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Solution for 4(y+6)=-4y+32 equation:


Simplifying
4(y + 6) = -4y + 32

Reorder the terms:
4(6 + y) = -4y + 32
(6 * 4 + y * 4) = -4y + 32
(24 + 4y) = -4y + 32

Reorder the terms:
24 + 4y = 32 + -4y

Solving
24 + 4y = 32 + -4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '4y' to each side of the equation.
24 + 4y + 4y = 32 + -4y + 4y

Combine like terms: 4y + 4y = 8y
24 + 8y = 32 + -4y + 4y

Combine like terms: -4y + 4y = 0
24 + 8y = 32 + 0
24 + 8y = 32

Add '-24' to each side of the equation.
24 + -24 + 8y = 32 + -24

Combine like terms: 24 + -24 = 0
0 + 8y = 32 + -24
8y = 32 + -24

Combine like terms: 32 + -24 = 8
8y = 8

Divide each side by '8'.
y = 1

Simplifying
y = 1

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