75+6y-22=17y-10-2y

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Solution for 75+6y-22=17y-10-2y equation:


Simplifying
75 + 6y + -22 = 17y + -10 + -2y

Reorder the terms:
75 + -22 + 6y = 17y + -10 + -2y

Combine like terms: 75 + -22 = 53
53 + 6y = 17y + -10 + -2y

Reorder the terms:
53 + 6y = -10 + 17y + -2y

Combine like terms: 17y + -2y = 15y
53 + 6y = -10 + 15y

Solving
53 + 6y = -10 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
53 + 6y + -15y = -10 + 15y + -15y

Combine like terms: 6y + -15y = -9y
53 + -9y = -10 + 15y + -15y

Combine like terms: 15y + -15y = 0
53 + -9y = -10 + 0
53 + -9y = -10

Add '-53' to each side of the equation.
53 + -53 + -9y = -10 + -53

Combine like terms: 53 + -53 = 0
0 + -9y = -10 + -53
-9y = -10 + -53

Combine like terms: -10 + -53 = -63
-9y = -63

Divide each side by '-9'.
y = 7

Simplifying
y = 7

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