82-115=-6(-6y)-19(2y)+y

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Solution for 82-115=-6(-6y)-19(2y)+y equation:


Simplifying
82 + -115 = -6(-6y) + -19(2y) + y

Combine like terms: 82 + -115 = -33
-33 = -6(-6y) + -19(2y) + y

Remove parenthesis around (-6y)
-33 = -6 * -6y + -19(2y) + y

Multiply -6 * -6
-33 = 36y + -19(2y) + y

Remove parenthesis around (2y)
-33 = 36y + -19 * 2y + y

Multiply -19 * 2
-33 = 36y + -38y + y

Combine like terms: 36y + -38y = -2y
-33 = -2y + y

Combine like terms: -2y + y = -1y
-33 = -1y

Solving
-33 = -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-33 + y = -1y + y

Combine like terms: -1y + y = 0
-33 + y = 0

Add '33' to each side of the equation.
-33 + 33 + y = 0 + 33

Combine like terms: -33 + 33 = 0
0 + y = 0 + 33
y = 0 + 33

Combine like terms: 0 + 33 = 33
y = 33

Simplifying
y = 33

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