10y+13=7y-10

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Solution for 10y+13=7y-10 equation:


Simplifying
10y + 13 = 7y + -10

Reorder the terms:
13 + 10y = 7y + -10

Reorder the terms:
13 + 10y = -10 + 7y

Solving
13 + 10y = -10 + 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.
13 + 10y + -7y = -10 + 7y + -7y

Combine like terms: 10y + -7y = 3y
13 + 3y = -10 + 7y + -7y

Combine like terms: 7y + -7y = 0
13 + 3y = -10 + 0
13 + 3y = -10

Add '-13' to each side of the equation.
13 + -13 + 3y = -10 + -13

Combine like terms: 13 + -13 = 0
0 + 3y = -10 + -13
3y = -10 + -13

Combine like terms: -10 + -13 = -23
3y = -23

Divide each side by '3'.
y = -7.666666667

Simplifying
y = -7.666666667

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