6y+15=28y-14

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Solution for 6y+15=28y-14 equation:


Simplifying
6y + 15 = 28y + -14

Reorder the terms:
15 + 6y = 28y + -14

Reorder the terms:
15 + 6y = -14 + 28y

Solving
15 + 6y = -14 + 28y

Solving for variable 'y'.

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

Add '-28y' to each side of the equation.
15 + 6y + -28y = -14 + 28y + -28y

Combine like terms: 6y + -28y = -22y
15 + -22y = -14 + 28y + -28y

Combine like terms: 28y + -28y = 0
15 + -22y = -14 + 0
15 + -22y = -14

Add '-15' to each side of the equation.
15 + -15 + -22y = -14 + -15

Combine like terms: 15 + -15 = 0
0 + -22y = -14 + -15
-22y = -14 + -15

Combine like terms: -14 + -15 = -29
-22y = -29

Divide each side by '-22'.
y = 1.318181818

Simplifying
y = 1.318181818

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