5y+10-7=10y+13

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Solution for 5y+10-7=10y+13 equation:


Simplifying
5y + 10 + -7 = 10y + 13

Reorder the terms:
10 + -7 + 5y = 10y + 13

Combine like terms: 10 + -7 = 3
3 + 5y = 10y + 13

Reorder the terms:
3 + 5y = 13 + 10y

Solving
3 + 5y = 13 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
3 + 5y + -10y = 13 + 10y + -10y

Combine like terms: 5y + -10y = -5y
3 + -5y = 13 + 10y + -10y

Combine like terms: 10y + -10y = 0
3 + -5y = 13 + 0
3 + -5y = 13

Add '-3' to each side of the equation.
3 + -3 + -5y = 13 + -3

Combine like terms: 3 + -3 = 0
0 + -5y = 13 + -3
-5y = 13 + -3

Combine like terms: 13 + -3 = 10
-5y = 10

Divide each side by '-5'.
y = -2

Simplifying
y = -2

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