4y-3(y-4)+5=9

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Solution for 4y-3(y-4)+5=9 equation:


Simplifying
4y + -3(y + -4) + 5 = 9

Reorder the terms:
4y + -3(-4 + y) + 5 = 9
4y + (-4 * -3 + y * -3) + 5 = 9
4y + (12 + -3y) + 5 = 9

Reorder the terms:
12 + 5 + 4y + -3y = 9

Combine like terms: 12 + 5 = 17
17 + 4y + -3y = 9

Combine like terms: 4y + -3y = 1y
17 + 1y = 9

Solving
17 + 1y = 9

Solving for variable 'y'.

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

Add '-17' to each side of the equation.
17 + -17 + 1y = 9 + -17

Combine like terms: 17 + -17 = 0
0 + 1y = 9 + -17
1y = 9 + -17

Combine like terms: 9 + -17 = -8
1y = -8

Divide each side by '1'.
y = -8

Simplifying
y = -8

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