-3(y+3)-4(y-5)=20

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Solution for -3(y+3)-4(y-5)=20 equation:


Simplifying
-3(y + 3) + -4(y + -5) = 20

Reorder the terms:
-3(3 + y) + -4(y + -5) = 20
(3 * -3 + y * -3) + -4(y + -5) = 20
(-9 + -3y) + -4(y + -5) = 20

Reorder the terms:
-9 + -3y + -4(-5 + y) = 20
-9 + -3y + (-5 * -4 + y * -4) = 20
-9 + -3y + (20 + -4y) = 20

Reorder the terms:
-9 + 20 + -3y + -4y = 20

Combine like terms: -9 + 20 = 11
11 + -3y + -4y = 20

Combine like terms: -3y + -4y = -7y
11 + -7y = 20

Solving
11 + -7y = 20

Solving for variable 'y'.

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

Add '-11' to each side of the equation.
11 + -11 + -7y = 20 + -11

Combine like terms: 11 + -11 = 0
0 + -7y = 20 + -11
-7y = 20 + -11

Combine like terms: 20 + -11 = 9
-7y = 9

Divide each side by '-7'.
y = -1.285714286

Simplifying
y = -1.285714286

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