-5y-3(2y+7)=4-7(-6-y)

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Solution for -5y-3(2y+7)=4-7(-6-y) equation:


Simplifying
-5y + -3(2y + 7) = 4 + -7(-6 + -1y)

Reorder the terms:
-5y + -3(7 + 2y) = 4 + -7(-6 + -1y)
-5y + (7 * -3 + 2y * -3) = 4 + -7(-6 + -1y)
-5y + (-21 + -6y) = 4 + -7(-6 + -1y)

Reorder the terms:
-21 + -5y + -6y = 4 + -7(-6 + -1y)

Combine like terms: -5y + -6y = -11y
-21 + -11y = 4 + -7(-6 + -1y)
-21 + -11y = 4 + (-6 * -7 + -1y * -7)
-21 + -11y = 4 + (42 + 7y)

Combine like terms: 4 + 42 = 46
-21 + -11y = 46 + 7y

Solving
-21 + -11y = 46 + 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.
-21 + -11y + -7y = 46 + 7y + -7y

Combine like terms: -11y + -7y = -18y
-21 + -18y = 46 + 7y + -7y

Combine like terms: 7y + -7y = 0
-21 + -18y = 46 + 0
-21 + -18y = 46

Add '21' to each side of the equation.
-21 + 21 + -18y = 46 + 21

Combine like terms: -21 + 21 = 0
0 + -18y = 46 + 21
-18y = 46 + 21

Combine like terms: 46 + 21 = 67
-18y = 67

Divide each side by '-18'.
y = -3.722222222

Simplifying
y = -3.722222222

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