-3(y-4y)+7=-2(2y-y)+1+10y

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Solution for -3(y-4y)+7=-2(2y-y)+1+10y equation:


Simplifying
-3(y + -4y) + 7 = -2(2y + -1y) + 1 + 10y

Combine like terms: y + -4y = -3y
-3(-3y) + 7 = -2(2y + -1y) + 1 + 10y

Remove parenthesis around (-3y)
-3 * -3y + 7 = -2(2y + -1y) + 1 + 10y

Multiply -3 * -3
9y + 7 = -2(2y + -1y) + 1 + 10y

Reorder the terms:
7 + 9y = -2(2y + -1y) + 1 + 10y

Combine like terms: 2y + -1y = 1y
7 + 9y = -2(1y) + 1 + 10y

Remove parenthesis around (1y)
7 + 9y = -2 * 1y + 1 + 10y

Multiply -2 * 1
7 + 9y = -2y + 1 + 10y

Reorder the terms:
7 + 9y = 1 + -2y + 10y

Combine like terms: -2y + 10y = 8y
7 + 9y = 1 + 8y

Solving
7 + 9y = 1 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
7 + 9y + -8y = 1 + 8y + -8y

Combine like terms: 9y + -8y = 1y
7 + 1y = 1 + 8y + -8y

Combine like terms: 8y + -8y = 0
7 + 1y = 1 + 0
7 + 1y = 1

Add '-7' to each side of the equation.
7 + -7 + 1y = 1 + -7

Combine like terms: 7 + -7 = 0
0 + 1y = 1 + -7
1y = 1 + -7

Combine like terms: 1 + -7 = -6
1y = -6

Divide each side by '1'.
y = -6

Simplifying
y = -6

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