2(Y+5)+3(Y-2)=24

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Solution for 2(Y+5)+3(Y-2)=24 equation:


Simplifying
2(Y + 5) + 3(Y + -2) = 24

Reorder the terms:
2(5 + Y) + 3(Y + -2) = 24
(5 * 2 + Y * 2) + 3(Y + -2) = 24
(10 + 2Y) + 3(Y + -2) = 24

Reorder the terms:
10 + 2Y + 3(-2 + Y) = 24
10 + 2Y + (-2 * 3 + Y * 3) = 24
10 + 2Y + (-6 + 3Y) = 24

Reorder the terms:
10 + -6 + 2Y + 3Y = 24

Combine like terms: 10 + -6 = 4
4 + 2Y + 3Y = 24

Combine like terms: 2Y + 3Y = 5Y
4 + 5Y = 24

Solving
4 + 5Y = 24

Solving for variable 'Y'.

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

Add '-4' to each side of the equation.
4 + -4 + 5Y = 24 + -4

Combine like terms: 4 + -4 = 0
0 + 5Y = 24 + -4
5Y = 24 + -4

Combine like terms: 24 + -4 = 20
5Y = 20

Divide each side by '5'.
Y = 4

Simplifying
Y = 4

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