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

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


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

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

Reorder the terms:
-9 + 3y + 3(4 + y) = 4(y + 2)
-9 + 3y + (4 * 3 + y * 3) = 4(y + 2)
-9 + 3y + (12 + 3y) = 4(y + 2)

Reorder the terms:
-9 + 12 + 3y + 3y = 4(y + 2)

Combine like terms: -9 + 12 = 3
3 + 3y + 3y = 4(y + 2)

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

Reorder the terms:
3 + 6y = 4(2 + y)
3 + 6y = (2 * 4 + y * 4)
3 + 6y = (8 + 4y)

Solving
3 + 6y = 8 + 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.
3 + 6y + -4y = 8 + 4y + -4y

Combine like terms: 6y + -4y = 2y
3 + 2y = 8 + 4y + -4y

Combine like terms: 4y + -4y = 0
3 + 2y = 8 + 0
3 + 2y = 8

Add '-3' to each side of the equation.
3 + -3 + 2y = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 2y = 8 + -3
2y = 8 + -3

Combine like terms: 8 + -3 = 5
2y = 5

Divide each side by '2'.
y = 2.5

Simplifying
y = 2.5

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