7y-5=10y+22

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Solution for 7y-5=10y+22 equation:


Simplifying
7y + -5 = 10y + 22

Reorder the terms:
-5 + 7y = 10y + 22

Reorder the terms:
-5 + 7y = 22 + 10y

Solving
-5 + 7y = 22 + 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.
-5 + 7y + -10y = 22 + 10y + -10y

Combine like terms: 7y + -10y = -3y
-5 + -3y = 22 + 10y + -10y

Combine like terms: 10y + -10y = 0
-5 + -3y = 22 + 0
-5 + -3y = 22

Add '5' to each side of the equation.
-5 + 5 + -3y = 22 + 5

Combine like terms: -5 + 5 = 0
0 + -3y = 22 + 5
-3y = 22 + 5

Combine like terms: 22 + 5 = 27
-3y = 27

Divide each side by '-3'.
y = -9

Simplifying
y = -9

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