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

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


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

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

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

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

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

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

Reorder the terms:
1 + 7y = 4(3 + y)
1 + 7y = (3 * 4 + y * 4)
1 + 7y = (12 + 4y)

Solving
1 + 7y = 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 + 7y + -4y = 12 + 4y + -4y

Combine like terms: 7y + -4y = 3y
1 + 3y = 12 + 4y + -4y

Combine like terms: 4y + -4y = 0
1 + 3y = 12 + 0
1 + 3y = 12

Add '-1' to each side of the equation.
1 + -1 + 3y = 12 + -1

Combine like terms: 1 + -1 = 0
0 + 3y = 12 + -1
3y = 12 + -1

Combine like terms: 12 + -1 = 11
3y = 11

Divide each side by '3'.
y = 3.666666667

Simplifying
y = 3.666666667

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