7(y-3)-7=-3(-8y+6)-y

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Solution for 7(y-3)-7=-3(-8y+6)-y equation:


Simplifying
7(y + -3) + -7 = -3(-8y + 6) + -1y

Reorder the terms:
7(-3 + y) + -7 = -3(-8y + 6) + -1y
(-3 * 7 + y * 7) + -7 = -3(-8y + 6) + -1y
(-21 + 7y) + -7 = -3(-8y + 6) + -1y

Reorder the terms:
-21 + -7 + 7y = -3(-8y + 6) + -1y

Combine like terms: -21 + -7 = -28
-28 + 7y = -3(-8y + 6) + -1y

Reorder the terms:
-28 + 7y = -3(6 + -8y) + -1y
-28 + 7y = (6 * -3 + -8y * -3) + -1y
-28 + 7y = (-18 + 24y) + -1y

Combine like terms: 24y + -1y = 23y
-28 + 7y = -18 + 23y

Solving
-28 + 7y = -18 + 23y

Solving for variable 'y'.

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

Add '-23y' to each side of the equation.
-28 + 7y + -23y = -18 + 23y + -23y

Combine like terms: 7y + -23y = -16y
-28 + -16y = -18 + 23y + -23y

Combine like terms: 23y + -23y = 0
-28 + -16y = -18 + 0
-28 + -16y = -18

Add '28' to each side of the equation.
-28 + 28 + -16y = -18 + 28

Combine like terms: -28 + 28 = 0
0 + -16y = -18 + 28
-16y = -18 + 28

Combine like terms: -18 + 28 = 10
-16y = 10

Divide each side by '-16'.
y = -0.625

Simplifying
y = -0.625

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