(7y+4)-(5y-9)=

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Solution for (7y+4)-(5y-9)= equation:


Simplifying
(7y + 4) + -1(5y + -9) = 0

Reorder the terms:
(4 + 7y) + -1(5y + -9) = 0

Remove parenthesis around (4 + 7y)
4 + 7y + -1(5y + -9) = 0

Reorder the terms:
4 + 7y + -1(-9 + 5y) = 0
4 + 7y + (-9 * -1 + 5y * -1) = 0
4 + 7y + (9 + -5y) = 0

Reorder the terms:
4 + 9 + 7y + -5y = 0

Combine like terms: 4 + 9 = 13
13 + 7y + -5y = 0

Combine like terms: 7y + -5y = 2y
13 + 2y = 0

Solving
13 + 2y = 0

Solving for variable 'y'.

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

Add '-13' to each side of the equation.
13 + -13 + 2y = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 2y = 0 + -13
2y = 0 + -13

Combine like terms: 0 + -13 = -13
2y = -13

Divide each side by '2'.
y = -6.5

Simplifying
y = -6.5

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