2y-3+4y-3y+7=6y-14

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Solution for 2y-3+4y-3y+7=6y-14 equation: 


Simplifying
2y + -3 + 4y + -3y + 7 = 6y + -14

Reorder the terms:
-3 + 7 + 2y + 4y + -3y = 6y + -14

Combine like terms: -3 + 7 = 4
4 + 2y + 4y + -3y = 6y + -14

Combine like terms: 2y + 4y = 6y
4 + 6y + -3y = 6y + -14

Combine like terms: 6y + -3y = 3y
4 + 3y = 6y + -14

Reorder the terms:
4 + 3y = -14 + 6y

Solving
4 + 3y = -14 + 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.
4 + 3y + -6y = -14 + 6y + -6y

Combine like terms: 3y + -6y = -3y
4 + -3y = -14 + 6y + -6y

Combine like terms: 6y + -6y = 0
4 + -3y = -14 + 0
4 + -3y = -14

Add '-4' to each side of the equation.
4 + -4 + -3y = -14 + -4

Combine like terms: 4 + -4 = 0
0 + -3y = -14 + -4
-3y = -14 + -4

Combine like terms: -14 + -4 = -18
-3y = -18

Divide each side by '-3'.
y = 6

Simplifying
y = 6

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