(15y+12)=(10y-15)+22

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Solution for (15y+12)=(10y-15)+22 equation:


Simplifying
(15y + 12) = (10y + -15) + 22

Reorder the terms:
(12 + 15y) = (10y + -15) + 22

Remove parenthesis around (12 + 15y)
12 + 15y = (10y + -15) + 22

Reorder the terms:
12 + 15y = (-15 + 10y) + 22

Remove parenthesis around (-15 + 10y)
12 + 15y = -15 + 10y + 22

Reorder the terms:
12 + 15y = -15 + 22 + 10y

Combine like terms: -15 + 22 = 7
12 + 15y = 7 + 10y

Solving
12 + 15y = 7 + 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.
12 + 15y + -10y = 7 + 10y + -10y

Combine like terms: 15y + -10y = 5y
12 + 5y = 7 + 10y + -10y

Combine like terms: 10y + -10y = 0
12 + 5y = 7 + 0
12 + 5y = 7

Add '-12' to each side of the equation.
12 + -12 + 5y = 7 + -12

Combine like terms: 12 + -12 = 0
0 + 5y = 7 + -12
5y = 7 + -12

Combine like terms: 7 + -12 = -5
5y = -5

Divide each side by '5'.
y = -1

Simplifying
y = -1

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