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

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


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

Reorder the terms:
-4y + -3(6 + 5y) = -7 + -7(-3 + -1y)
-4y + (6 * -3 + 5y * -3) = -7 + -7(-3 + -1y)
-4y + (-18 + -15y) = -7 + -7(-3 + -1y)

Reorder the terms:
-18 + -4y + -15y = -7 + -7(-3 + -1y)

Combine like terms: -4y + -15y = -19y
-18 + -19y = -7 + -7(-3 + -1y)
-18 + -19y = -7 + (-3 * -7 + -1y * -7)
-18 + -19y = -7 + (21 + 7y)

Combine like terms: -7 + 21 = 14
-18 + -19y = 14 + 7y

Solving
-18 + -19y = 14 + 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.
-18 + -19y + -7y = 14 + 7y + -7y

Combine like terms: -19y + -7y = -26y
-18 + -26y = 14 + 7y + -7y

Combine like terms: 7y + -7y = 0
-18 + -26y = 14 + 0
-18 + -26y = 14

Add '18' to each side of the equation.
-18 + 18 + -26y = 14 + 18

Combine like terms: -18 + 18 = 0
0 + -26y = 14 + 18
-26y = 14 + 18

Combine like terms: 14 + 18 = 32
-26y = 32

Divide each side by '-26'.
y = -1.230769231

Simplifying
y = -1.230769231

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