5(y+4)=-20(y-1)-150

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Solution for 5(y+4)=-20(y-1)-150 equation: 


Simplifying
5(y + 4) = -20(y + -1) + -150

Reorder the terms:
5(4 + y) = -20(y + -1) + -150
(4 * 5 + y * 5) = -20(y + -1) + -150
(20 + 5y) = -20(y + -1) + -150

Reorder the terms:
20 + 5y = -20(-1 + y) + -150
20 + 5y = (-1 * -20 + y * -20) + -150
20 + 5y = (20 + -20y) + -150

Reorder the terms:
20 + 5y = 20 + -150 + -20y

Combine like terms: 20 + -150 = -130
20 + 5y = -130 + -20y

Solving
20 + 5y = -130 + -20y

Solving for variable 'y'.

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

Add '20y' to each side of the equation.
20 + 5y + 20y = -130 + -20y + 20y

Combine like terms: 5y + 20y = 25y
20 + 25y = -130 + -20y + 20y

Combine like terms: -20y + 20y = 0
20 + 25y = -130 + 0
20 + 25y = -130

Add '-20' to each side of the equation.
20 + -20 + 25y = -130 + -20

Combine like terms: 20 + -20 = 0
0 + 25y = -130 + -20
25y = -130 + -20

Combine like terms: -130 + -20 = -150
25y = -150

Divide each side by '25'.
y = -6

Simplifying
y = -6

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