5(10-Y)=6(Y+1)

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Solution for 5(10-Y)=6(Y+1) equation:


Simplifying
5(10 + -1Y) = 6(Y + 1)
(10 * 5 + -1Y * 5) = 6(Y + 1)
(50 + -5Y) = 6(Y + 1)

Reorder the terms:
50 + -5Y = 6(1 + Y)
50 + -5Y = (1 * 6 + Y * 6)
50 + -5Y = (6 + 6Y)

Solving
50 + -5Y = 6 + 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.
50 + -5Y + -6Y = 6 + 6Y + -6Y

Combine like terms: -5Y + -6Y = -11Y
50 + -11Y = 6 + 6Y + -6Y

Combine like terms: 6Y + -6Y = 0
50 + -11Y = 6 + 0
50 + -11Y = 6

Add '-50' to each side of the equation.
50 + -50 + -11Y = 6 + -50

Combine like terms: 50 + -50 = 0
0 + -11Y = 6 + -50
-11Y = 6 + -50

Combine like terms: 6 + -50 = -44
-11Y = -44

Divide each side by '-11'.
Y = 4

Simplifying
Y = 4

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