4Y-3(Y-6)+5=7

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Solution for 4Y-3(Y-6)+5=7 equation:


Simplifying
4Y + -3(Y + -6) + 5 = 7

Reorder the terms:
4Y + -3(-6 + Y) + 5 = 7
4Y + (-6 * -3 + Y * -3) + 5 = 7
4Y + (18 + -3Y) + 5 = 7

Reorder the terms:
18 + 5 + 4Y + -3Y = 7

Combine like terms: 18 + 5 = 23
23 + 4Y + -3Y = 7

Combine like terms: 4Y + -3Y = 1Y
23 + 1Y = 7

Solving
23 + 1Y = 7

Solving for variable 'Y'.

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

Add '-23' to each side of the equation.
23 + -23 + 1Y = 7 + -23

Combine like terms: 23 + -23 = 0
0 + 1Y = 7 + -23
1Y = 7 + -23

Combine like terms: 7 + -23 = -16
1Y = -16

Divide each side by '1'.
Y = -16

Simplifying
Y = -16

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