15(y-4)-(y-9)+5(y+6)=0

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Solution for 15(y-4)-(y-9)+5(y+6)=0 equation:


Simplifying
15(y + -4) + -1(y + -9) + 5(y + 6) = 0

Reorder the terms:
15(-4 + y) + -1(y + -9) + 5(y + 6) = 0
(-4 * 15 + y * 15) + -1(y + -9) + 5(y + 6) = 0
(-60 + 15y) + -1(y + -9) + 5(y + 6) = 0

Reorder the terms:
-60 + 15y + -1(-9 + y) + 5(y + 6) = 0
-60 + 15y + (-9 * -1 + y * -1) + 5(y + 6) = 0
-60 + 15y + (9 + -1y) + 5(y + 6) = 0

Reorder the terms:
-60 + 15y + 9 + -1y + 5(6 + y) = 0
-60 + 15y + 9 + -1y + (6 * 5 + y * 5) = 0
-60 + 15y + 9 + -1y + (30 + 5y) = 0

Reorder the terms:
-60 + 9 + 30 + 15y + -1y + 5y = 0

Combine like terms: -60 + 9 = -51
-51 + 30 + 15y + -1y + 5y = 0

Combine like terms: -51 + 30 = -21
-21 + 15y + -1y + 5y = 0

Combine like terms: 15y + -1y = 14y
-21 + 14y + 5y = 0

Combine like terms: 14y + 5y = 19y
-21 + 19y = 0

Solving
-21 + 19y = 0

Solving for variable 'y'.

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

Add '21' to each side of the equation.
-21 + 21 + 19y = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 19y = 0 + 21
19y = 0 + 21

Combine like terms: 0 + 21 = 21
19y = 21

Divide each side by '19'.
y = 1.105263158

Simplifying
y = 1.105263158

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