3(y+10)=2(y-8)

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Solution for 3(y+10)=2(y-8) equation: 


Simplifying
3(y + 10) = 2(y + -8)

Reorder the terms:
3(10 + y) = 2(y + -8)
(10 * 3 + y * 3) = 2(y + -8)
(30 + 3y) = 2(y + -8)

Reorder the terms:
30 + 3y = 2(-8 + y)
30 + 3y = (-8 * 2 + y * 2)
30 + 3y = (-16 + 2y)

Solving
30 + 3y = -16 + 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.
30 + 3y + -2y = -16 + 2y + -2y

Combine like terms: 3y + -2y = 1y
30 + 1y = -16 + 2y + -2y

Combine like terms: 2y + -2y = 0
30 + 1y = -16 + 0
30 + 1y = -16

Add '-30' to each side of the equation.
30 + -30 + 1y = -16 + -30

Combine like terms: 30 + -30 = 0
0 + 1y = -16 + -30
1y = -16 + -30

Combine like terms: -16 + -30 = -46
1y = -46

Divide each side by '1'.
y = -46

Simplifying
y = -46

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