5y+14-2y=9-(4y+2)

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Solution for 5y+14-2y=9-(4y+2) equation: 


Simplifying
5y + 14 + -2y = 9 + -1(4y + 2)

Reorder the terms:
14 + 5y + -2y = 9 + -1(4y + 2)

Combine like terms: 5y + -2y = 3y
14 + 3y = 9 + -1(4y + 2)

Reorder the terms:
14 + 3y = 9 + -1(2 + 4y)
14 + 3y = 9 + (2 * -1 + 4y * -1)
14 + 3y = 9 + (-2 + -4y)

Combine like terms: 9 + -2 = 7
14 + 3y = 7 + -4y

Solving
14 + 3y = 7 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
14 + 3y + 4y = 7 + -4y + 4y

Combine like terms: 3y + 4y = 7y
14 + 7y = 7 + -4y + 4y

Combine like terms: -4y + 4y = 0
14 + 7y = 7 + 0
14 + 7y = 7

Add '-14' to each side of the equation.
14 + -14 + 7y = 7 + -14

Combine like terms: 14 + -14 = 0
0 + 7y = 7 + -14
7y = 7 + -14

Combine like terms: 7 + -14 = -7
7y = -7

Divide each side by '7'.
y = -1

Simplifying
y = -1

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