-5y+3(7y-5)=5+7(-8-y)

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Solution for -5y+3(7y-5)=5+7(-8-y) equation:


Simplifying
-5y + 3(7y + -5) = 5 + 7(-8 + -1y)

Reorder the terms:
-5y + 3(-5 + 7y) = 5 + 7(-8 + -1y)
-5y + (-5 * 3 + 7y * 3) = 5 + 7(-8 + -1y)
-5y + (-15 + 21y) = 5 + 7(-8 + -1y)

Reorder the terms:
-15 + -5y + 21y = 5 + 7(-8 + -1y)

Combine like terms: -5y + 21y = 16y
-15 + 16y = 5 + 7(-8 + -1y)
-15 + 16y = 5 + (-8 * 7 + -1y * 7)
-15 + 16y = 5 + (-56 + -7y)

Combine like terms: 5 + -56 = -51
-15 + 16y = -51 + -7y

Solving
-15 + 16y = -51 + -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.
-15 + 16y + 7y = -51 + -7y + 7y

Combine like terms: 16y + 7y = 23y
-15 + 23y = -51 + -7y + 7y

Combine like terms: -7y + 7y = 0
-15 + 23y = -51 + 0
-15 + 23y = -51

Add '15' to each side of the equation.
-15 + 15 + 23y = -51 + 15

Combine like terms: -15 + 15 = 0
0 + 23y = -51 + 15
23y = -51 + 15

Combine like terms: -51 + 15 = -36
23y = -36

Divide each side by '23'.
y = -1.565217391

Simplifying
y = -1.565217391

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