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

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


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

Reorder the terms:
4(5 + y) = 5(y + -5)
(5 * 4 + y * 4) = 5(y + -5)
(20 + 4y) = 5(y + -5)

Reorder the terms:
20 + 4y = 5(-5 + y)
20 + 4y = (-5 * 5 + y * 5)
20 + 4y = (-25 + 5y)

Solving
20 + 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.
20 + 4y + -5y = -25 + 5y + -5y

Combine like terms: 4y + -5y = -1y
20 + -1y = -25 + 5y + -5y

Combine like terms: 5y + -5y = 0
20 + -1y = -25 + 0
20 + -1y = -25

Add '-20' to each side of the equation.
20 + -20 + -1y = -25 + -20

Combine like terms: 20 + -20 = 0
0 + -1y = -25 + -20
-1y = -25 + -20

Combine like terms: -25 + -20 = -45
-1y = -45

Divide each side by '-1'.
y = 45

Simplifying
y = 45

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