# 3y+14+(2y-7)=7y+(9-4y)

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## Solution for 3y+14+(2y-7)=7y+(9-4y) equation:

Simplifying
3y + 14 + (2y + -7) = 7y + (9 + -4y)

Reorder the terms:
3y + 14 + (-7 + 2y) = 7y + (9 + -4y)

Remove parenthesis around (-7 + 2y)
3y + 14 + -7 + 2y = 7y + (9 + -4y)

Reorder the terms:
14 + -7 + 3y + 2y = 7y + (9 + -4y)

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

Combine like terms: 3y + 2y = 5y
7 + 5y = 7y + (9 + -4y)

Remove parenthesis around (9 + -4y)
7 + 5y = 7y + 9 + -4y

Reorder the terms:
7 + 5y = 9 + 7y + -4y

Combine like terms: 7y + -4y = 3y
7 + 5y = 9 + 3y

Solving
7 + 5y = 9 + 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.
7 + 5y + -3y = 9 + 3y + -3y

Combine like terms: 5y + -3y = 2y
7 + 2y = 9 + 3y + -3y

Combine like terms: 3y + -3y = 0
7 + 2y = 9 + 0
7 + 2y = 9

Add '-7' to each side of the equation.
7 + -7 + 2y = 9 + -7

Combine like terms: 7 + -7 = 0
0 + 2y = 9 + -7
2y = 9 + -7

Combine like terms: 9 + -7 = 2
2y = 2

Divide each side by '2'.
y = 1

Simplifying
y = 1`