120=5(21-y)+4y+12

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Solution for 120=5(21-y)+4y+12 equation:


Simplifying
120 = 5(21 + -1y) + 4y + 12
120 = (21 * 5 + -1y * 5) + 4y + 12
120 = (105 + -5y) + 4y + 12

Reorder the terms:
120 = 105 + 12 + -5y + 4y

Combine like terms: 105 + 12 = 117
120 = 117 + -5y + 4y

Combine like terms: -5y + 4y = -1y
120 = 117 + -1y

Solving
120 = 117 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
120 + y = 117 + -1y + y

Combine like terms: -1y + y = 0
120 + y = 117 + 0
120 + y = 117

Add '-120' to each side of the equation.
120 + -120 + y = 117 + -120

Combine like terms: 120 + -120 = 0
0 + y = 117 + -120
y = 117 + -120

Combine like terms: 117 + -120 = -3
y = -3

Simplifying
y = -3

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