-4y+7(6y-9)=9-2(-7-y)

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Solution for -4y+7(6y-9)=9-2(-7-y) equation:


Simplifying
-4y + 7(6y + -9) = 9 + -2(-7 + -1y)

Reorder the terms:
-4y + 7(-9 + 6y) = 9 + -2(-7 + -1y)
-4y + (-9 * 7 + 6y * 7) = 9 + -2(-7 + -1y)
-4y + (-63 + 42y) = 9 + -2(-7 + -1y)

Reorder the terms:
-63 + -4y + 42y = 9 + -2(-7 + -1y)

Combine like terms: -4y + 42y = 38y
-63 + 38y = 9 + -2(-7 + -1y)
-63 + 38y = 9 + (-7 * -2 + -1y * -2)
-63 + 38y = 9 + (14 + 2y)

Combine like terms: 9 + 14 = 23
-63 + 38y = 23 + 2y

Solving
-63 + 38y = 23 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-63 + 38y + -2y = 23 + 2y + -2y

Combine like terms: 38y + -2y = 36y
-63 + 36y = 23 + 2y + -2y

Combine like terms: 2y + -2y = 0
-63 + 36y = 23 + 0
-63 + 36y = 23

Add '63' to each side of the equation.
-63 + 63 + 36y = 23 + 63

Combine like terms: -63 + 63 = 0
0 + 36y = 23 + 63
36y = 23 + 63

Combine like terms: 23 + 63 = 86
36y = 86

Divide each side by '36'.
y = 2.388888889

Simplifying
y = 2.388888889

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