5(Y+3)=8(Y+6)

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Solution for 5(Y+3)=8(Y+6) equation:


Simplifying
5(Y + 3) = 8(Y + 6)

Reorder the terms:
5(3 + Y) = 8(Y + 6)
(3 * 5 + Y * 5) = 8(Y + 6)
(15 + 5Y) = 8(Y + 6)

Reorder the terms:
15 + 5Y = 8(6 + Y)
15 + 5Y = (6 * 8 + Y * 8)
15 + 5Y = (48 + 8Y)

Solving
15 + 5Y = 48 + 8Y

Solving for variable 'Y'.

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

Add '-8Y' to each side of the equation.
15 + 5Y + -8Y = 48 + 8Y + -8Y

Combine like terms: 5Y + -8Y = -3Y
15 + -3Y = 48 + 8Y + -8Y

Combine like terms: 8Y + -8Y = 0
15 + -3Y = 48 + 0
15 + -3Y = 48

Add '-15' to each side of the equation.
15 + -15 + -3Y = 48 + -15

Combine like terms: 15 + -15 = 0
0 + -3Y = 48 + -15
-3Y = 48 + -15

Combine like terms: 48 + -15 = 33
-3Y = 33

Divide each side by '-3'.
Y = -11

Simplifying
Y = -11

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