4(y-2)+3(y-12)=-2(Y+28)

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Solution for 4(y-2)+3(y-12)=-2(Y+28) equation:


Simplifying
4(y + -2) + 3(y + -12) = -2(Y + 28)

Reorder the terms:
4(-2 + y) + 3(y + -12) = -2(Y + 28)
(-2 * 4 + y * 4) + 3(y + -12) = -2(Y + 28)
(-8 + 4y) + 3(y + -12) = -2(Y + 28)

Reorder the terms:
-8 + 4y + 3(-12 + y) = -2(Y + 28)
-8 + 4y + (-12 * 3 + y * 3) = -2(Y + 28)
-8 + 4y + (-36 + 3y) = -2(Y + 28)

Reorder the terms:
-8 + -36 + 4y + 3y = -2(Y + 28)

Combine like terms: -8 + -36 = -44
-44 + 4y + 3y = -2(Y + 28)

Combine like terms: 4y + 3y = 7y
-44 + 7y = -2(Y + 28)

Reorder the terms:
-44 + 7y = -2(28 + Y)
-44 + 7y = (28 * -2 + Y * -2)
-44 + 7y = (-56 + -2Y)

Solving
-44 + 7y = -56 + -2Y

Solving for variable 'y'.

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

Add '44' to each side of the equation.
-44 + 44 + 7y = -56 + 44 + -2Y

Combine like terms: -44 + 44 = 0
0 + 7y = -56 + 44 + -2Y
7y = -56 + 44 + -2Y

Combine like terms: -56 + 44 = -12
7y = -12 + -2Y

Divide each side by '7'.
y = -1.714285714 + -0.2857142857Y

Simplifying
y = -1.714285714 + -0.2857142857Y

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