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

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


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

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

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

Combine like terms: -4 + 2 = -2
-2 + 4y = 3(1 + -2y) + 5
-2 + 4y = (1 * 3 + -2y * 3) + 5
-2 + 4y = (3 + -6y) + 5

Reorder the terms:
-2 + 4y = 3 + 5 + -6y

Combine like terms: 3 + 5 = 8
-2 + 4y = 8 + -6y

Solving
-2 + 4y = 8 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
-2 + 4y + 6y = 8 + -6y + 6y

Combine like terms: 4y + 6y = 10y
-2 + 10y = 8 + -6y + 6y

Combine like terms: -6y + 6y = 0
-2 + 10y = 8 + 0
-2 + 10y = 8

Add '2' to each side of the equation.
-2 + 2 + 10y = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 10y = 8 + 2
10y = 8 + 2

Combine like terms: 8 + 2 = 10
10y = 10

Divide each side by '10'.
y = 1

Simplifying
y = 1

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