3(y-5)=2(y-8)

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Solution for 3(y-5)=2(y-8) equation: 


Simplifying
3(y + -5) = 2(y + -8)

Reorder the terms:
3(-5 + y) = 2(y + -8)
(-5 * 3 + y * 3) = 2(y + -8)
(-15 + 3y) = 2(y + -8)

Reorder the terms:
-15 + 3y = 2(-8 + y)
-15 + 3y = (-8 * 2 + y * 2)
-15 + 3y = (-16 + 2y)

Solving
-15 + 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.
-15 + 3y + -2y = -16 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-15 + 1y = -16 + 2y + -2y

Combine like terms: 2y + -2y = 0
-15 + 1y = -16 + 0
-15 + 1y = -16

Add '15' to each side of the equation.
-15 + 15 + 1y = -16 + 15

Combine like terms: -15 + 15 = 0
0 + 1y = -16 + 15
1y = -16 + 15

Combine like terms: -16 + 15 = -1
1y = -1

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

Simplifying
y = -1

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