y+2(y+10)=12-5y

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Solution for y+2(y+10)=12-5y equation:


Simplifying
y + 2(y + 10) = 12 + -5y

Reorder the terms:
y + 2(10 + y) = 12 + -5y
y + (10 * 2 + y * 2) = 12 + -5y
y + (20 + 2y) = 12 + -5y

Reorder the terms:
20 + y + 2y = 12 + -5y

Combine like terms: y + 2y = 3y
20 + 3y = 12 + -5y

Solving
20 + 3y = 12 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
20 + 3y + 5y = 12 + -5y + 5y

Combine like terms: 3y + 5y = 8y
20 + 8y = 12 + -5y + 5y

Combine like terms: -5y + 5y = 0
20 + 8y = 12 + 0
20 + 8y = 12

Add '-20' to each side of the equation.
20 + -20 + 8y = 12 + -20

Combine like terms: 20 + -20 = 0
0 + 8y = 12 + -20
8y = 12 + -20

Combine like terms: 12 + -20 = -8
8y = -8

Divide each side by '8'.
y = -1

Simplifying
y = -1

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