7y-5=9y+10

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Solution for 7y-5=9y+10 equation:


Simplifying
7y + -5 = 9y + 10

Reorder the terms:
-5 + 7y = 9y + 10

Reorder the terms:
-5 + 7y = 10 + 9y

Solving
-5 + 7y = 10 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-5 + 7y + -9y = 10 + 9y + -9y

Combine like terms: 7y + -9y = -2y
-5 + -2y = 10 + 9y + -9y

Combine like terms: 9y + -9y = 0
-5 + -2y = 10 + 0
-5 + -2y = 10

Add '5' to each side of the equation.
-5 + 5 + -2y = 10 + 5

Combine like terms: -5 + 5 = 0
0 + -2y = 10 + 5
-2y = 10 + 5

Combine like terms: 10 + 5 = 15
-2y = 15

Divide each side by '-2'.
y = -7.5

Simplifying
y = -7.5

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