49+5y-13=16y-12-3y

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Solution for 49+5y-13=16y-12-3y equation:


Simplifying
49 + 5y + -13 = 16y + -12 + -3y

Reorder the terms:
49 + -13 + 5y = 16y + -12 + -3y

Combine like terms: 49 + -13 = 36
36 + 5y = 16y + -12 + -3y

Reorder the terms:
36 + 5y = -12 + 16y + -3y

Combine like terms: 16y + -3y = 13y
36 + 5y = -12 + 13y

Solving
36 + 5y = -12 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
36 + 5y + -13y = -12 + 13y + -13y

Combine like terms: 5y + -13y = -8y
36 + -8y = -12 + 13y + -13y

Combine like terms: 13y + -13y = 0
36 + -8y = -12 + 0
36 + -8y = -12

Add '-36' to each side of the equation.
36 + -36 + -8y = -12 + -36

Combine like terms: 36 + -36 = 0
0 + -8y = -12 + -36
-8y = -12 + -36

Combine like terms: -12 + -36 = -48
-8y = -48

Divide each side by '-8'.
y = 6

Simplifying
y = 6

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