4(Y-9)=-6(3+Y)

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Solution for 4(Y-9)=-6(3+Y) equation: 


Simplifying
4(Y + -9) = -6(3 + Y)

Reorder the terms:
4(-9 + Y) = -6(3 + Y)
(-9 * 4 + Y * 4) = -6(3 + Y)
(-36 + 4Y) = -6(3 + Y)
-36 + 4Y = (3 * -6 + Y * -6)
-36 + 4Y = (-18 + -6Y)

Solving
-36 + 4Y = -18 + -6Y

Solving for variable 'Y'.

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

Add '6Y' to each side of the equation.
-36 + 4Y + 6Y = -18 + -6Y + 6Y

Combine like terms: 4Y + 6Y = 10Y
-36 + 10Y = -18 + -6Y + 6Y

Combine like terms: -6Y + 6Y = 0
-36 + 10Y = -18 + 0
-36 + 10Y = -18

Add '36' to each side of the equation.
-36 + 36 + 10Y = -18 + 36

Combine like terms: -36 + 36 = 0
0 + 10Y = -18 + 36
10Y = -18 + 36

Combine like terms: -18 + 36 = 18
10Y = 18

Divide each side by '10'.
Y = 1.8

Simplifying
Y = 1.8

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