18y+20-y=-5(-11y+20)+2y

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Solution for 18y+20-y=-5(-11y+20)+2y equation:


Simplifying
18y + 20 + -1y = -5(-11y + 20) + 2y

Reorder the terms:
20 + 18y + -1y = -5(-11y + 20) + 2y

Combine like terms: 18y + -1y = 17y
20 + 17y = -5(-11y + 20) + 2y

Reorder the terms:
20 + 17y = -5(20 + -11y) + 2y
20 + 17y = (20 * -5 + -11y * -5) + 2y
20 + 17y = (-100 + 55y) + 2y

Combine like terms: 55y + 2y = 57y
20 + 17y = -100 + 57y

Solving
20 + 17y = -100 + 57y

Solving for variable 'y'.

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

Add '-57y' to each side of the equation.
20 + 17y + -57y = -100 + 57y + -57y

Combine like terms: 17y + -57y = -40y
20 + -40y = -100 + 57y + -57y

Combine like terms: 57y + -57y = 0
20 + -40y = -100 + 0
20 + -40y = -100

Add '-20' to each side of the equation.
20 + -20 + -40y = -100 + -20

Combine like terms: 20 + -20 = 0
0 + -40y = -100 + -20
-40y = -100 + -20

Combine like terms: -100 + -20 = -120
-40y = -120

Divide each side by '-40'.
y = 3

Simplifying
y = 3

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