10y-13=8y-49

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Solution for 10y-13=8y-49 equation:


Simplifying
10y + -13 = 8y + -49

Reorder the terms:
-13 + 10y = 8y + -49

Reorder the terms:
-13 + 10y = -49 + 8y

Solving
-13 + 10y = -49 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-13 + 10y + -8y = -49 + 8y + -8y

Combine like terms: 10y + -8y = 2y
-13 + 2y = -49 + 8y + -8y

Combine like terms: 8y + -8y = 0
-13 + 2y = -49 + 0
-13 + 2y = -49

Add '13' to each side of the equation.
-13 + 13 + 2y = -49 + 13

Combine like terms: -13 + 13 = 0
0 + 2y = -49 + 13
2y = -49 + 13

Combine like terms: -49 + 13 = -36
2y = -36

Divide each side by '2'.
y = -18

Simplifying
y = -18

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