5+2(3Y-1)=7Y+6

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Solution for 5+2(3Y-1)=7Y+6 equation:


Simplifying
5 + 2(3Y + -1) = 7Y + 6

Reorder the terms:
5 + 2(-1 + 3Y) = 7Y + 6
5 + (-1 * 2 + 3Y * 2) = 7Y + 6
5 + (-2 + 6Y) = 7Y + 6

Combine like terms: 5 + -2 = 3
3 + 6Y = 7Y + 6

Reorder the terms:
3 + 6Y = 6 + 7Y

Solving
3 + 6Y = 6 + 7Y

Solving for variable 'Y'.

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

Add '-7Y' to each side of the equation.
3 + 6Y + -7Y = 6 + 7Y + -7Y

Combine like terms: 6Y + -7Y = -1Y
3 + -1Y = 6 + 7Y + -7Y

Combine like terms: 7Y + -7Y = 0
3 + -1Y = 6 + 0
3 + -1Y = 6

Add '-3' to each side of the equation.
3 + -3 + -1Y = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -1Y = 6 + -3
-1Y = 6 + -3

Combine like terms: 6 + -3 = 3
-1Y = 3

Divide each side by '-1'.
Y = -3

Simplifying
Y = -3

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