9(y-4)=-10(y+6)

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Solution for 9(y-4)=-10(y+6) equation:


Simplifying
9(y + -4) = -10(y + 6)

Reorder the terms:
9(-4 + y) = -10(y + 6)
(-4 * 9 + y * 9) = -10(y + 6)
(-36 + 9y) = -10(y + 6)

Reorder the terms:
-36 + 9y = -10(6 + y)
-36 + 9y = (6 * -10 + y * -10)
-36 + 9y = (-60 + -10y)

Solving
-36 + 9y = -60 + -10y

Solving for variable 'y'.

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

Add '10y' to each side of the equation.
-36 + 9y + 10y = -60 + -10y + 10y

Combine like terms: 9y + 10y = 19y
-36 + 19y = -60 + -10y + 10y

Combine like terms: -10y + 10y = 0
-36 + 19y = -60 + 0
-36 + 19y = -60

Add '36' to each side of the equation.
-36 + 36 + 19y = -60 + 36

Combine like terms: -36 + 36 = 0
0 + 19y = -60 + 36
19y = -60 + 36

Combine like terms: -60 + 36 = -24
19y = -24

Divide each side by '19'.
y = -1.263157895

Simplifying
y = -1.263157895

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