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

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Solution for 3(y-2)-4=-2(-9y+7)-y equation:


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

Reorder the terms:
3(-2 + y) + -4 = -2(-9y + 7) + -1y
(-2 * 3 + y * 3) + -4 = -2(-9y + 7) + -1y
(-6 + 3y) + -4 = -2(-9y + 7) + -1y

Reorder the terms:
-6 + -4 + 3y = -2(-9y + 7) + -1y

Combine like terms: -6 + -4 = -10
-10 + 3y = -2(-9y + 7) + -1y

Reorder the terms:
-10 + 3y = -2(7 + -9y) + -1y
-10 + 3y = (7 * -2 + -9y * -2) + -1y
-10 + 3y = (-14 + 18y) + -1y

Combine like terms: 18y + -1y = 17y
-10 + 3y = -14 + 17y

Solving
-10 + 3y = -14 + 17y

Solving for variable 'y'.

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

Add '-17y' to each side of the equation.
-10 + 3y + -17y = -14 + 17y + -17y

Combine like terms: 3y + -17y = -14y
-10 + -14y = -14 + 17y + -17y

Combine like terms: 17y + -17y = 0
-10 + -14y = -14 + 0
-10 + -14y = -14

Add '10' to each side of the equation.
-10 + 10 + -14y = -14 + 10

Combine like terms: -10 + 10 = 0
0 + -14y = -14 + 10
-14y = -14 + 10

Combine like terms: -14 + 10 = -4
-14y = -4

Divide each side by '-14'.
y = 0.2857142857

Simplifying
y = 0.2857142857

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