(6.5y-2)+(14.5y-2)=19y+14

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Solution for (6.5y-2)+(14.5y-2)=19y+14 equation:


Simplifying
(6.5y + -2) + (14.5y + -2) = 19y + 14

Reorder the terms:
(-2 + 6.5y) + (14.5y + -2) = 19y + 14

Remove parenthesis around (-2 + 6.5y)
-2 + 6.5y + (14.5y + -2) = 19y + 14

Reorder the terms:
-2 + 6.5y + (-2 + 14.5y) = 19y + 14

Remove parenthesis around (-2 + 14.5y)
-2 + 6.5y + -2 + 14.5y = 19y + 14

Reorder the terms:
-2 + -2 + 6.5y + 14.5y = 19y + 14

Combine like terms: -2 + -2 = -4
-4 + 6.5y + 14.5y = 19y + 14

Combine like terms: 6.5y + 14.5y = 21y
-4 + 21y = 19y + 14

Reorder the terms:
-4 + 21y = 14 + 19y

Solving
-4 + 21y = 14 + 19y

Solving for variable 'y'.

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

Add '-19y' to each side of the equation.
-4 + 21y + -19y = 14 + 19y + -19y

Combine like terms: 21y + -19y = 2y
-4 + 2y = 14 + 19y + -19y

Combine like terms: 19y + -19y = 0
-4 + 2y = 14 + 0
-4 + 2y = 14

Add '4' to each side of the equation.
-4 + 4 + 2y = 14 + 4

Combine like terms: -4 + 4 = 0
0 + 2y = 14 + 4
2y = 14 + 4

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

Divide each side by '2'.
y = 9

Simplifying
y = 9

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