-4(y-2y)+7=-4(5y-y)+2+19y

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Solution for -4(y-2y)+7=-4(5y-y)+2+19y equation:


Simplifying
-4(y + -2y) + 7 = -4(5y + -1y) + 2 + 19y

Combine like terms: y + -2y = -1y
-4(-1y) + 7 = -4(5y + -1y) + 2 + 19y

Remove parenthesis around (-1y)
-4 * -1y + 7 = -4(5y + -1y) + 2 + 19y

Multiply -4 * -1
4y + 7 = -4(5y + -1y) + 2 + 19y

Reorder the terms:
7 + 4y = -4(5y + -1y) + 2 + 19y

Combine like terms: 5y + -1y = 4y
7 + 4y = -4(4y) + 2 + 19y

Remove parenthesis around (4y)
7 + 4y = -4 * 4y + 2 + 19y

Multiply -4 * 4
7 + 4y = -16y + 2 + 19y

Reorder the terms:
7 + 4y = 2 + -16y + 19y

Combine like terms: -16y + 19y = 3y
7 + 4y = 2 + 3y

Solving
7 + 4y = 2 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
7 + 4y + -3y = 2 + 3y + -3y

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

Combine like terms: 3y + -3y = 0
7 + 1y = 2 + 0
7 + 1y = 2

Add '-7' to each side of the equation.
7 + -7 + 1y = 2 + -7

Combine like terms: 7 + -7 = 0
0 + 1y = 2 + -7
1y = 2 + -7

Combine like terms: 2 + -7 = -5
1y = -5

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

Simplifying
y = -5

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