4(y-2)-9=-7(-2y+5)-2y

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Solution for 4(y-2)-9=-7(-2y+5)-2y equation:


Simplifying
4(y + -2) + -9 = -7(-2y + 5) + -2y

Reorder the terms:
4(-2 + y) + -9 = -7(-2y + 5) + -2y
(-2 * 4 + y * 4) + -9 = -7(-2y + 5) + -2y
(-8 + 4y) + -9 = -7(-2y + 5) + -2y

Reorder the terms:
-8 + -9 + 4y = -7(-2y + 5) + -2y

Combine like terms: -8 + -9 = -17
-17 + 4y = -7(-2y + 5) + -2y

Reorder the terms:
-17 + 4y = -7(5 + -2y) + -2y
-17 + 4y = (5 * -7 + -2y * -7) + -2y
-17 + 4y = (-35 + 14y) + -2y

Combine like terms: 14y + -2y = 12y
-17 + 4y = -35 + 12y

Solving
-17 + 4y = -35 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-17 + 4y + -12y = -35 + 12y + -12y

Combine like terms: 4y + -12y = -8y
-17 + -8y = -35 + 12y + -12y

Combine like terms: 12y + -12y = 0
-17 + -8y = -35 + 0
-17 + -8y = -35

Add '17' to each side of the equation.
-17 + 17 + -8y = -35 + 17

Combine like terms: -17 + 17 = 0
0 + -8y = -35 + 17
-8y = -35 + 17

Combine like terms: -35 + 17 = -18
-8y = -18

Divide each side by '-8'.
y = 2.25

Simplifying
y = 2.25

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