4(3y-2)+5(y+8)=0

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Solution for 4(3y-2)+5(y+8)=0 equation:


Simplifying
4(3y + -2) + 5(y + 8) = 0

Reorder the terms:
4(-2 + 3y) + 5(y + 8) = 0
(-2 * 4 + 3y * 4) + 5(y + 8) = 0
(-8 + 12y) + 5(y + 8) = 0

Reorder the terms:
-8 + 12y + 5(8 + y) = 0
-8 + 12y + (8 * 5 + y * 5) = 0
-8 + 12y + (40 + 5y) = 0

Reorder the terms:
-8 + 40 + 12y + 5y = 0

Combine like terms: -8 + 40 = 32
32 + 12y + 5y = 0

Combine like terms: 12y + 5y = 17y
32 + 17y = 0

Solving
32 + 17y = 0

Solving for variable 'y'.

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

Add '-32' to each side of the equation.
32 + -32 + 17y = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 17y = 0 + -32
17y = 0 + -32

Combine like terms: 0 + -32 = -32
17y = -32

Divide each side by '17'.
y = -1.882352941

Simplifying
y = -1.882352941

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