4y-12=-5y+51

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Solution for 4y-12=-5y+51 equation:


Simplifying
4y + -12 = -5y + 51

Reorder the terms:
-12 + 4y = -5y + 51

Reorder the terms:
-12 + 4y = 51 + -5y

Solving
-12 + 4y = 51 + -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.
-12 + 4y + 5y = 51 + -5y + 5y

Combine like terms: 4y + 5y = 9y
-12 + 9y = 51 + -5y + 5y

Combine like terms: -5y + 5y = 0
-12 + 9y = 51 + 0
-12 + 9y = 51

Add '12' to each side of the equation.
-12 + 12 + 9y = 51 + 12

Combine like terms: -12 + 12 = 0
0 + 9y = 51 + 12
9y = 51 + 12

Combine like terms: 51 + 12 = 63
9y = 63

Divide each side by '9'.
y = 7

Simplifying
y = 7

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