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

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


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

Reorder the terms:
-3y + 7(-2 + 3y) + 4y = -1y
-3y + (-2 * 7 + 3y * 7) + 4y = -1y
-3y + (-14 + 21y) + 4y = -1y

Reorder the terms:
-14 + -3y + 21y + 4y = -1y

Combine like terms: -3y + 21y = 18y
-14 + 18y + 4y = -1y

Combine like terms: 18y + 4y = 22y
-14 + 22y = -1y

Solving
-14 + 22y = -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.
-14 + 22y + y = -1y + y

Combine like terms: 22y + y = 23y
-14 + 23y = -1y + y

Combine like terms: -1y + y = 0
-14 + 23y = 0

Add '14' to each side of the equation.
-14 + 14 + 23y = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 23y = 0 + 14
23y = 0 + 14

Combine like terms: 0 + 14 = 14
23y = 14

Divide each side by '23'.
y = 0.6086956522

Simplifying
y = 0.6086956522

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