-10+10y+30=4(2y-10)-12

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Solution for -10+10y+30=4(2y-10)-12 equation: 


Simplifying
-10 + 10y + 30 = 4(2y + -10) + -12

Reorder the terms:
-10 + 30 + 10y = 4(2y + -10) + -12

Combine like terms: -10 + 30 = 20
20 + 10y = 4(2y + -10) + -12

Reorder the terms:
20 + 10y = 4(-10 + 2y) + -12
20 + 10y = (-10 * 4 + 2y * 4) + -12
20 + 10y = (-40 + 8y) + -12

Reorder the terms:
20 + 10y = -40 + -12 + 8y

Combine like terms: -40 + -12 = -52
20 + 10y = -52 + 8y

Solving
20 + 10y = -52 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
20 + 10y + -8y = -52 + 8y + -8y

Combine like terms: 10y + -8y = 2y
20 + 2y = -52 + 8y + -8y

Combine like terms: 8y + -8y = 0
20 + 2y = -52 + 0
20 + 2y = -52

Add '-20' to each side of the equation.
20 + -20 + 2y = -52 + -20

Combine like terms: 20 + -20 = 0
0 + 2y = -52 + -20
2y = -52 + -20

Combine like terms: -52 + -20 = -72
2y = -72

Divide each side by '2'.
y = -36

Simplifying
y = -36

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