4(y-2)-3(y+5)=-9

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Solution for 4(y-2)-3(y+5)=-9 equation:


Simplifying
4(y + -2) + -3(y + 5) = -9

Reorder the terms:
4(-2 + y) + -3(y + 5) = -9
(-2 * 4 + y * 4) + -3(y + 5) = -9
(-8 + 4y) + -3(y + 5) = -9

Reorder the terms:
-8 + 4y + -3(5 + y) = -9
-8 + 4y + (5 * -3 + y * -3) = -9
-8 + 4y + (-15 + -3y) = -9

Reorder the terms:
-8 + -15 + 4y + -3y = -9

Combine like terms: -8 + -15 = -23
-23 + 4y + -3y = -9

Combine like terms: 4y + -3y = 1y
-23 + 1y = -9

Solving
-23 + 1y = -9

Solving for variable 'y'.

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

Add '23' to each side of the equation.
-23 + 23 + 1y = -9 + 23

Combine like terms: -23 + 23 = 0
0 + 1y = -9 + 23
1y = -9 + 23

Combine like terms: -9 + 23 = 14
1y = 14

Divide each side by '1'.
y = 14

Simplifying
y = 14

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