4y+15-5y+3=6y+19-9y-5

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Solution for 4y+15-5y+3=6y+19-9y-5 equation:


Simplifying
4y + 15 + -5y + 3 = 6y + 19 + -9y + -5

Reorder the terms:
15 + 3 + 4y + -5y = 6y + 19 + -9y + -5

Combine like terms: 15 + 3 = 18
18 + 4y + -5y = 6y + 19 + -9y + -5

Combine like terms: 4y + -5y = -1y
18 + -1y = 6y + 19 + -9y + -5

Reorder the terms:
18 + -1y = 19 + -5 + 6y + -9y

Combine like terms: 19 + -5 = 14
18 + -1y = 14 + 6y + -9y

Combine like terms: 6y + -9y = -3y
18 + -1y = 14 + -3y

Solving
18 + -1y = 14 + -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.
18 + -1y + 3y = 14 + -3y + 3y

Combine like terms: -1y + 3y = 2y
18 + 2y = 14 + -3y + 3y

Combine like terms: -3y + 3y = 0
18 + 2y = 14 + 0
18 + 2y = 14

Add '-18' to each side of the equation.
18 + -18 + 2y = 14 + -18

Combine like terms: 18 + -18 = 0
0 + 2y = 14 + -18
2y = 14 + -18

Combine like terms: 14 + -18 = -4
2y = -4

Divide each side by '2'.
y = -2

Simplifying
y = -2

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