2y-(y-8)=3y+18

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Solution for 2y-(y-8)=3y+18 equation:


Simplifying
2y + -1(y + -8) = 3y + 18

Reorder the terms:
2y + -1(-8 + y) = 3y + 18
2y + (-8 * -1 + y * -1) = 3y + 18
2y + (8 + -1y) = 3y + 18

Reorder the terms:
8 + 2y + -1y = 3y + 18

Combine like terms: 2y + -1y = 1y
8 + 1y = 3y + 18

Reorder the terms:
8 + 1y = 18 + 3y

Solving
8 + 1y = 18 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
8 + 1y + -3y = 18 + 3y + -3y

Combine like terms: 1y + -3y = -2y
8 + -2y = 18 + 3y + -3y

Combine like terms: 3y + -3y = 0
8 + -2y = 18 + 0
8 + -2y = 18

Add '-8' to each side of the equation.
8 + -8 + -2y = 18 + -8

Combine like terms: 8 + -8 = 0
0 + -2y = 18 + -8
-2y = 18 + -8

Combine like terms: 18 + -8 = 10
-2y = 10

Divide each side by '-2'.
y = -5

Simplifying
y = -5

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