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

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


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

Reorder the terms:
4(5 + 2y) = (5y + -2)
(5 * 4 + 2y * 4) = (5y + -2)
(20 + 8y) = (5y + -2)

Reorder the terms:
20 + 8y = (-2 + 5y)

Remove parenthesis around (-2 + 5y)
20 + 8y = -2 + 5y

Solving
20 + 8y = -2 + 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 + 8y + -5y = -2 + 5y + -5y

Combine like terms: 8y + -5y = 3y
20 + 3y = -2 + 5y + -5y

Combine like terms: 5y + -5y = 0
20 + 3y = -2 + 0
20 + 3y = -2

Add '-20' to each side of the equation.
20 + -20 + 3y = -2 + -20

Combine like terms: 20 + -20 = 0
0 + 3y = -2 + -20
3y = -2 + -20

Combine like terms: -2 + -20 = -22
3y = -22

Divide each side by '3'.
y = -7.333333333

Simplifying
y = -7.333333333

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