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

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


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

Reorder the terms:
-4(7 + -4y) + -9y = 3(y + -7) + -1
(7 * -4 + -4y * -4) + -9y = 3(y + -7) + -1
(-28 + 16y) + -9y = 3(y + -7) + -1

Combine like terms: 16y + -9y = 7y
-28 + 7y = 3(y + -7) + -1

Reorder the terms:
-28 + 7y = 3(-7 + y) + -1
-28 + 7y = (-7 * 3 + y * 3) + -1
-28 + 7y = (-21 + 3y) + -1

Reorder the terms:
-28 + 7y = -21 + -1 + 3y

Combine like terms: -21 + -1 = -22
-28 + 7y = -22 + 3y

Solving
-28 + 7y = -22 + 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.
-28 + 7y + -3y = -22 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-28 + 4y = -22 + 3y + -3y

Combine like terms: 3y + -3y = 0
-28 + 4y = -22 + 0
-28 + 4y = -22

Add '28' to each side of the equation.
-28 + 28 + 4y = -22 + 28

Combine like terms: -28 + 28 = 0
0 + 4y = -22 + 28
4y = -22 + 28

Combine like terms: -22 + 28 = 6
4y = 6

Divide each side by '4'.
y = 1.5

Simplifying
y = 1.5

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