-4(-7y+6)-9y=3(y-3)-1

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Solution for -4(-7y+6)-9y=3(y-3)-1 equation:


Simplifying
-4(-7y + 6) + -9y = 3(y + -3) + -1

Reorder the terms:
-4(6 + -7y) + -9y = 3(y + -3) + -1
(6 * -4 + -7y * -4) + -9y = 3(y + -3) + -1
(-24 + 28y) + -9y = 3(y + -3) + -1

Combine like terms: 28y + -9y = 19y
-24 + 19y = 3(y + -3) + -1

Reorder the terms:
-24 + 19y = 3(-3 + y) + -1
-24 + 19y = (-3 * 3 + y * 3) + -1
-24 + 19y = (-9 + 3y) + -1

Reorder the terms:
-24 + 19y = -9 + -1 + 3y

Combine like terms: -9 + -1 = -10
-24 + 19y = -10 + 3y

Solving
-24 + 19y = -10 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-24 + 19y + -3y = -10 + 3y + -3y

Combine like terms: 19y + -3y = 16y
-24 + 16y = -10 + 3y + -3y

Combine like terms: 3y + -3y = 0
-24 + 16y = -10 + 0
-24 + 16y = -10

Add '24' to each side of the equation.
-24 + 24 + 16y = -10 + 24

Combine like terms: -24 + 24 = 0
0 + 16y = -10 + 24
16y = -10 + 24

Combine like terms: -10 + 24 = 14
16y = 14

Divide each side by '16'.
y = 0.875

Simplifying
y = 0.875

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