3(2y-1)-4(y+2)=3y+5

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Solution for 3(2y-1)-4(y+2)=3y+5 equation:


Simplifying
3(2y + -1) + -4(y + 2) = 3y + 5

Reorder the terms:
3(-1 + 2y) + -4(y + 2) = 3y + 5
(-1 * 3 + 2y * 3) + -4(y + 2) = 3y + 5
(-3 + 6y) + -4(y + 2) = 3y + 5

Reorder the terms:
-3 + 6y + -4(2 + y) = 3y + 5
-3 + 6y + (2 * -4 + y * -4) = 3y + 5
-3 + 6y + (-8 + -4y) = 3y + 5

Reorder the terms:
-3 + -8 + 6y + -4y = 3y + 5

Combine like terms: -3 + -8 = -11
-11 + 6y + -4y = 3y + 5

Combine like terms: 6y + -4y = 2y
-11 + 2y = 3y + 5

Reorder the terms:
-11 + 2y = 5 + 3y

Solving
-11 + 2y = 5 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-11 + 2y + -3y = 5 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-11 + -1y = 5 + 3y + -3y

Combine like terms: 3y + -3y = 0
-11 + -1y = 5 + 0
-11 + -1y = 5

Add '11' to each side of the equation.
-11 + 11 + -1y = 5 + 11

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

Combine like terms: 5 + 11 = 16
-1y = 16

Divide each side by '-1'.
y = -16

Simplifying
y = -16

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