3(y-6)=2(y-5)

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Solution for 3(y-6)=2(y-5) equation:


Simplifying
3(y + -6) = 2(y + -5)

Reorder the terms:
3(-6 + y) = 2(y + -5)
(-6 * 3 + y * 3) = 2(y + -5)
(-18 + 3y) = 2(y + -5)

Reorder the terms:
-18 + 3y = 2(-5 + y)
-18 + 3y = (-5 * 2 + y * 2)
-18 + 3y = (-10 + 2y)

Solving
-18 + 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.
-18 + 3y + -2y = -10 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-18 + 1y = -10 + 2y + -2y

Combine like terms: 2y + -2y = 0
-18 + 1y = -10 + 0
-18 + 1y = -10

Add '18' to each side of the equation.
-18 + 18 + 1y = -10 + 18

Combine like terms: -18 + 18 = 0
0 + 1y = -10 + 18
1y = -10 + 18

Combine like terms: -10 + 18 = 8
1y = 8

Divide each side by '1'.
y = 8

Simplifying
y = 8

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