5y+16=7y-10

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Solution for 5y+16=7y-10 equation: 


Simplifying
5y + 16 = 7y + -10

Reorder the terms:
16 + 5y = 7y + -10

Reorder the terms:
16 + 5y = -10 + 7y

Solving
16 + 5y = -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.
16 + 5y + -7y = -10 + 7y + -7y

Combine like terms: 5y + -7y = -2y
16 + -2y = -10 + 7y + -7y

Combine like terms: 7y + -7y = 0
16 + -2y = -10 + 0
16 + -2y = -10

Add '-16' to each side of the equation.
16 + -16 + -2y = -10 + -16

Combine like terms: 16 + -16 = 0
0 + -2y = -10 + -16
-2y = -10 + -16

Combine like terms: -10 + -16 = -26
-2y = -26

Divide each side by '-2'.
y = 13

Simplifying
y = 13

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