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

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


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

Reorder the terms:
4(4 + y) = 5(y + -5)
(4 * 4 + y * 4) = 5(y + -5)
(16 + 4y) = 5(y + -5)

Reorder the terms:
16 + 4y = 5(-5 + y)
16 + 4y = (-5 * 5 + y * 5)
16 + 4y = (-25 + 5y)

Solving
16 + 4y = -25 + 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.
16 + 4y + -5y = -25 + 5y + -5y

Combine like terms: 4y + -5y = -1y
16 + -1y = -25 + 5y + -5y

Combine like terms: 5y + -5y = 0
16 + -1y = -25 + 0
16 + -1y = -25

Add '-16' to each side of the equation.
16 + -16 + -1y = -25 + -16

Combine like terms: 16 + -16 = 0
0 + -1y = -25 + -16
-1y = -25 + -16

Combine like terms: -25 + -16 = -41
-1y = -41

Divide each side by '-1'.
y = 41

Simplifying
y = 41

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