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

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


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

Reorder the terms:
4y + -3(-5 + y) + 3 = 9
4y + (-5 * -3 + y * -3) + 3 = 9
4y + (15 + -3y) + 3 = 9

Reorder the terms:
15 + 3 + 4y + -3y = 9

Combine like terms: 15 + 3 = 18
18 + 4y + -3y = 9

Combine like terms: 4y + -3y = 1y
18 + 1y = 9

Solving
18 + 1y = 9

Solving for variable 'y'.

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

Add '-18' to each side of the equation.
18 + -18 + 1y = 9 + -18

Combine like terms: 18 + -18 = 0
0 + 1y = 9 + -18
1y = 9 + -18

Combine like terms: 9 + -18 = -9
1y = -9

Divide each side by '1'.
y = -9

Simplifying
y = -9

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