3y-2+y=7+4y-3y

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


Simplifying
3y + -2 + y = 7 + 4y + -3y

Reorder the terms:
-2 + 3y + y = 7 + 4y + -3y

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

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

Solving
-2 + 4y = 7 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-2 + 4y + -1y = 7 + 1y + -1y

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

Combine like terms: 1y + -1y = 0
-2 + 3y = 7 + 0
-2 + 3y = 7

Add '2' to each side of the equation.
-2 + 2 + 3y = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 3y = 7 + 2
3y = 7 + 2

Combine like terms: 7 + 2 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3

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