3(2y-1)-2(y-2)=-4(y+3)

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Solution for 3(2y-1)-2(y-2)=-4(y+3) equation:


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

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

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

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

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

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

Reorder the terms:
1 + 4y = -4(3 + y)
1 + 4y = (3 * -4 + y * -4)
1 + 4y = (-12 + -4y)

Solving
1 + 4y = -12 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
1 + 4y + 4y = -12 + -4y + 4y

Combine like terms: 4y + 4y = 8y
1 + 8y = -12 + -4y + 4y

Combine like terms: -4y + 4y = 0
1 + 8y = -12 + 0
1 + 8y = -12

Add '-1' to each side of the equation.
1 + -1 + 8y = -12 + -1

Combine like terms: 1 + -1 = 0
0 + 8y = -12 + -1
8y = -12 + -1

Combine like terms: -12 + -1 = -13
8y = -13

Divide each side by '8'.
y = -1.625

Simplifying
y = -1.625

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