6y-3=12+5(y-2)

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Solution for 6y-3=12+5(y-2) equation:


Simplifying
6y + -3 = 12 + 5(y + -2)

Reorder the terms:
-3 + 6y = 12 + 5(y + -2)

Reorder the terms:
-3 + 6y = 12 + 5(-2 + y)
-3 + 6y = 12 + (-2 * 5 + y * 5)
-3 + 6y = 12 + (-10 + 5y)

Combine like terms: 12 + -10 = 2
-3 + 6y = 2 + 5y

Solving
-3 + 6y = 2 + 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.
-3 + 6y + -5y = 2 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-3 + 1y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-3 + 1y = 2 + 0
-3 + 1y = 2

Add '3' to each side of the equation.
-3 + 3 + 1y = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 1y = 2 + 3
1y = 2 + 3

Combine like terms: 2 + 3 = 5
1y = 5

Divide each side by '1'.
y = 5

Simplifying
y = 5

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