7y-(9y-16)=14-(-y+19)

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Solution for 7y-(9y-16)=14-(-y+19) equation: 


Simplifying
7y + -1(9y + -16) = 14 + -1(-1y + 19)

Reorder the terms:
7y + -1(-16 + 9y) = 14 + -1(-1y + 19)
7y + (-16 * -1 + 9y * -1) = 14 + -1(-1y + 19)
7y + (16 + -9y) = 14 + -1(-1y + 19)

Reorder the terms:
16 + 7y + -9y = 14 + -1(-1y + 19)

Combine like terms: 7y + -9y = -2y
16 + -2y = 14 + -1(-1y + 19)

Reorder the terms:
16 + -2y = 14 + -1(19 + -1y)
16 + -2y = 14 + (19 * -1 + -1y * -1)
16 + -2y = 14 + (-19 + 1y)

Combine like terms: 14 + -19 = -5
16 + -2y = -5 + 1y

Solving
16 + -2y = -5 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
16 + -2y + -1y = -5 + 1y + -1y

Combine like terms: -2y + -1y = -3y
16 + -3y = -5 + 1y + -1y

Combine like terms: 1y + -1y = 0
16 + -3y = -5 + 0
16 + -3y = -5

Add '-16' to each side of the equation.
16 + -16 + -3y = -5 + -16

Combine like terms: 16 + -16 = 0
0 + -3y = -5 + -16
-3y = -5 + -16

Combine like terms: -5 + -16 = -21
-3y = -21

Divide each side by '-3'.
y = 7

Simplifying
y = 7

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