15(y-4)-2(y-8)+5(y+6)=0

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Solution for 15(y-4)-2(y-8)+5(y+6)=0 equation:


Simplifying
15(y + -4) + -2(y + -8) + 5(y + 6) = 0

Reorder the terms:
15(-4 + y) + -2(y + -8) + 5(y + 6) = 0
(-4 * 15 + y * 15) + -2(y + -8) + 5(y + 6) = 0
(-60 + 15y) + -2(y + -8) + 5(y + 6) = 0

Reorder the terms:
-60 + 15y + -2(-8 + y) + 5(y + 6) = 0
-60 + 15y + (-8 * -2 + y * -2) + 5(y + 6) = 0
-60 + 15y + (16 + -2y) + 5(y + 6) = 0

Reorder the terms:
-60 + 15y + 16 + -2y + 5(6 + y) = 0
-60 + 15y + 16 + -2y + (6 * 5 + y * 5) = 0
-60 + 15y + 16 + -2y + (30 + 5y) = 0

Reorder the terms:
-60 + 16 + 30 + 15y + -2y + 5y = 0

Combine like terms: -60 + 16 = -44
-44 + 30 + 15y + -2y + 5y = 0

Combine like terms: -44 + 30 = -14
-14 + 15y + -2y + 5y = 0

Combine like terms: 15y + -2y = 13y
-14 + 13y + 5y = 0

Combine like terms: 13y + 5y = 18y
-14 + 18y = 0

Solving
-14 + 18y = 0

Solving for variable 'y'.

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

Add '14' to each side of the equation.
-14 + 14 + 18y = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 18y = 0 + 14
18y = 0 + 14

Combine like terms: 0 + 14 = 14
18y = 14

Divide each side by '18'.
y = 0.7777777778

Simplifying
y = 0.7777777778

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