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

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


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

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

Reorder the terms:
-18 + 6y = 5(-2 + y)
-18 + 6y = (-2 * 5 + y * 5)
-18 + 6y = (-10 + 5y)

Solving
-18 + 6y = -10 + 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.
-18 + 6y + -5y = -10 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-18 + 1y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 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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