(2y-3y)+4y-5=6y-7y+15

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Solution for (2y-3y)+4y-5=6y-7y+15 equation: 


Simplifying
(2y + -3y) + 4y + -5 = 6y + -7y + 15

Combine like terms: 2y + -3y = -1y
(-1y) + 4y + -5 = 6y + -7y + 15
(-1y) + 4y + -5 = 6y + -7y + 15

Reorder the terms:
-5 + (-1y) + 4y = 6y + -7y + 15

Combine like terms: (-1y) + 4y = 3y
-5 + 3y = 6y + -7y + 15

Reorder the terms:
-5 + 3y = 15 + 6y + -7y

Combine like terms: 6y + -7y = -1y
-5 + 3y = 15 + -1y

Solving
-5 + 3y = 15 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-5 + 3y + y = 15 + -1y + y

Combine like terms: 3y + y = 4y
-5 + 4y = 15 + -1y + y

Combine like terms: -1y + y = 0
-5 + 4y = 15 + 0
-5 + 4y = 15

Add '5' to each side of the equation.
-5 + 5 + 4y = 15 + 5

Combine like terms: -5 + 5 = 0
0 + 4y = 15 + 5
4y = 15 + 5

Combine like terms: 15 + 5 = 20
4y = 20

Divide each side by '4'.
y = 5

Simplifying
y = 5

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