-5(y-2y)+7=-2(6y-y)+8+14y

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Solution for -5(y-2y)+7=-2(6y-y)+8+14y equation:


Simplifying
-5(y + -2y) + 7 = -2(6y + -1y) + 8 + 14y

Combine like terms: y + -2y = -1y
-5(-1y) + 7 = -2(6y + -1y) + 8 + 14y

Remove parenthesis around (-1y)
-5 * -1y + 7 = -2(6y + -1y) + 8 + 14y

Multiply -5 * -1
5y + 7 = -2(6y + -1y) + 8 + 14y

Reorder the terms:
7 + 5y = -2(6y + -1y) + 8 + 14y

Combine like terms: 6y + -1y = 5y
7 + 5y = -2(5y) + 8 + 14y

Remove parenthesis around (5y)
7 + 5y = -2 * 5y + 8 + 14y

Multiply -2 * 5
7 + 5y = -10y + 8 + 14y

Reorder the terms:
7 + 5y = 8 + -10y + 14y

Combine like terms: -10y + 14y = 4y
7 + 5y = 8 + 4y

Solving
7 + 5y = 8 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
7 + 5y + -4y = 8 + 4y + -4y

Combine like terms: 5y + -4y = 1y
7 + 1y = 8 + 4y + -4y

Combine like terms: 4y + -4y = 0
7 + 1y = 8 + 0
7 + 1y = 8

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

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

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

Divide each side by '1'.
y = 1

Simplifying
y = 1

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