52+6y-1=17y-12-2y

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Solution for 52+6y-1=17y-12-2y equation:


Simplifying
52 + 6y + -1 = 17y + -12 + -2y

Reorder the terms:
52 + -1 + 6y = 17y + -12 + -2y

Combine like terms: 52 + -1 = 51
51 + 6y = 17y + -12 + -2y

Reorder the terms:
51 + 6y = -12 + 17y + -2y

Combine like terms: 17y + -2y = 15y
51 + 6y = -12 + 15y

Solving
51 + 6y = -12 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
51 + 6y + -15y = -12 + 15y + -15y

Combine like terms: 6y + -15y = -9y
51 + -9y = -12 + 15y + -15y

Combine like terms: 15y + -15y = 0
51 + -9y = -12 + 0
51 + -9y = -12

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

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

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

Divide each side by '-9'.
y = 7

Simplifying
y = 7

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