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

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


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

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

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

Solving
-3 + 12y = 10 + 10y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-10y' to each side of the equation.
-3 + 12y + -10y = 10 + 10y + -10y

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

Combine like terms: 10y + -10y = 0
-3 + 2y = 10 + 0
-3 + 2y = 10

Add '3' to each side of the equation.
-3 + 3 + 2y = 10 + 3

Combine like terms: -3 + 3 = 0
0 + 2y = 10 + 3
2y = 10 + 3

Combine like terms: 10 + 3 = 13
2y = 13

Divide each side by '2'.
y = 6.5

Simplifying
y = 6.5

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