2(y-1)+4y=3(y-1)+7

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Solution for 2(y-1)+4y=3(y-1)+7 equation: 


Simplifying
2(y + -1) + 4y = 3(y + -1) + 7

Reorder the terms:
2(-1 + y) + 4y = 3(y + -1) + 7
(-1 * 2 + y * 2) + 4y = 3(y + -1) + 7
(-2 + 2y) + 4y = 3(y + -1) + 7

Combine like terms: 2y + 4y = 6y
-2 + 6y = 3(y + -1) + 7

Reorder the terms:
-2 + 6y = 3(-1 + y) + 7
-2 + 6y = (-1 * 3 + y * 3) + 7
-2 + 6y = (-3 + 3y) + 7

Reorder the terms:
-2 + 6y = -3 + 7 + 3y

Combine like terms: -3 + 7 = 4
-2 + 6y = 4 + 3y

Solving
-2 + 6y = 4 + 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.
-2 + 6y + -3y = 4 + 3y + -3y

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

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

Add '2' to each side of the equation.
-2 + 2 + 3y = 4 + 2

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

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

Divide each side by '3'.
y = 2

Simplifying
y = 2

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