2y+2-3y+6+4y+12=2y-10

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Solution for 2y+2-3y+6+4y+12=2y-10 equation: 


Simplifying
2y + 2 + -3y + 6 + 4y + 12 = 2y + -10

Reorder the terms:
2 + 6 + 12 + 2y + -3y + 4y = 2y + -10

Combine like terms: 2 + 6 = 8
8 + 12 + 2y + -3y + 4y = 2y + -10

Combine like terms: 8 + 12 = 20
20 + 2y + -3y + 4y = 2y + -10

Combine like terms: 2y + -3y = -1y
20 + -1y + 4y = 2y + -10

Combine like terms: -1y + 4y = 3y
20 + 3y = 2y + -10

Reorder the terms:
20 + 3y = -10 + 2y

Solving
20 + 3y = -10 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
20 + 3y + -2y = -10 + 2y + -2y

Combine like terms: 3y + -2y = 1y
20 + 1y = -10 + 2y + -2y

Combine like terms: 2y + -2y = 0
20 + 1y = -10 + 0
20 + 1y = -10

Add '-20' to each side of the equation.
20 + -20 + 1y = -10 + -20

Combine like terms: 20 + -20 = 0
0 + 1y = -10 + -20
1y = -10 + -20

Combine like terms: -10 + -20 = -30
1y = -30

Divide each side by '1'.
y = -30

Simplifying
y = -30

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