9y+46=7y-10

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Solution for 9y+46=7y-10 equation: 


Simplifying
9y + 46 = 7y + -10

Reorder the terms:
46 + 9y = 7y + -10

Reorder the terms:
46 + 9y = -10 + 7y

Solving
46 + 9y = -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.
46 + 9y + -7y = -10 + 7y + -7y

Combine like terms: 9y + -7y = 2y
46 + 2y = -10 + 7y + -7y

Combine like terms: 7y + -7y = 0
46 + 2y = -10 + 0
46 + 2y = -10

Add '-46' to each side of the equation.
46 + -46 + 2y = -10 + -46

Combine like terms: 46 + -46 = 0
0 + 2y = -10 + -46
2y = -10 + -46

Combine like terms: -10 + -46 = -56
2y = -56

Divide each side by '2'.
y = -28

Simplifying
y = -28

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