-2(y-5y)+6=-4(3y-y)+1+15y

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Solution for -2(y-5y)+6=-4(3y-y)+1+15y equation:


Simplifying
-2(y + -5y) + 6 = -4(3y + -1y) + 1 + 15y

Combine like terms: y + -5y = -4y
-2(-4y) + 6 = -4(3y + -1y) + 1 + 15y

Remove parenthesis around (-4y)
-2 * -4y + 6 = -4(3y + -1y) + 1 + 15y

Multiply -2 * -4
8y + 6 = -4(3y + -1y) + 1 + 15y

Reorder the terms:
6 + 8y = -4(3y + -1y) + 1 + 15y

Combine like terms: 3y + -1y = 2y
6 + 8y = -4(2y) + 1 + 15y

Remove parenthesis around (2y)
6 + 8y = -4 * 2y + 1 + 15y

Multiply -4 * 2
6 + 8y = -8y + 1 + 15y

Reorder the terms:
6 + 8y = 1 + -8y + 15y

Combine like terms: -8y + 15y = 7y
6 + 8y = 1 + 7y

Solving
6 + 8y = 1 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
6 + 8y + -7y = 1 + 7y + -7y

Combine like terms: 8y + -7y = 1y
6 + 1y = 1 + 7y + -7y

Combine like terms: 7y + -7y = 0
6 + 1y = 1 + 0
6 + 1y = 1

Add '-6' to each side of the equation.
6 + -6 + 1y = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = 1 + -6
1y = 1 + -6

Combine like terms: 1 + -6 = -5
1y = -5

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

Simplifying
y = -5

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