4(y+8)=5(y-2)

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Solution for 4(y+8)=5(y-2) equation: 


Simplifying
4(y + 8) = 5(y + -2)

Reorder the terms:
4(8 + y) = 5(y + -2)
(8 * 4 + y * 4) = 5(y + -2)
(32 + 4y) = 5(y + -2)

Reorder the terms:
32 + 4y = 5(-2 + y)
32 + 4y = (-2 * 5 + y * 5)
32 + 4y = (-10 + 5y)

Solving
32 + 4y = -10 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
32 + 4y + -5y = -10 + 5y + -5y

Combine like terms: 4y + -5y = -1y
32 + -1y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 0
32 + -1y = -10 + 0
32 + -1y = -10

Add '-32' to each side of the equation.
32 + -32 + -1y = -10 + -32

Combine like terms: 32 + -32 = 0
0 + -1y = -10 + -32
-1y = -10 + -32

Combine like terms: -10 + -32 = -42
-1y = -42

Divide each side by '-1'.
y = 42

Simplifying
y = 42

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