2y-3=7y+12

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Solution for 2y-3=7y+12 equation:


Simplifying
2y + -3 = 7y + 12

Reorder the terms:
-3 + 2y = 7y + 12

Reorder the terms:
-3 + 2y = 12 + 7y

Solving
-3 + 2y = 12 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-3 + 2y + -7y = 12 + 7y + -7y

Combine like terms: 2y + -7y = -5y
-3 + -5y = 12 + 7y + -7y

Combine like terms: 7y + -7y = 0
-3 + -5y = 12 + 0
-3 + -5y = 12

Add '3' to each side of the equation.
-3 + 3 + -5y = 12 + 3

Combine like terms: -3 + 3 = 0
0 + -5y = 12 + 3
-5y = 12 + 3

Combine like terms: 12 + 3 = 15
-5y = 15

Divide each side by '-5'.
y = -3

Simplifying
y = -3

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