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

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


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

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

Combine like terms: 3 + 8 = 11
11 + 4y = 2y + 3(y + 4)

Reorder the terms:
11 + 4y = 2y + 3(4 + y)
11 + 4y = 2y + (4 * 3 + y * 3)
11 + 4y = 2y + (12 + 3y)

Reorder the terms:
11 + 4y = 12 + 2y + 3y

Combine like terms: 2y + 3y = 5y
11 + 4y = 12 + 5y

Solving
11 + 4y = 12 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
11 + 4y + -5y = 12 + 5y + -5y

Combine like terms: 4y + -5y = -1y
11 + -1y = 12 + 5y + -5y

Combine like terms: 5y + -5y = 0
11 + -1y = 12 + 0
11 + -1y = 12

Add '-11' to each side of the equation.
11 + -11 + -1y = 12 + -11

Combine like terms: 11 + -11 = 0
0 + -1y = 12 + -11
-1y = 12 + -11

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

Divide each side by '-1'.
y = -1

Simplifying
y = -1

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