6y-5(y-4)+3=8

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Solution for 6y-5(y-4)+3=8 equation:


Simplifying
6y + -5(y + -4) + 3 = 8

Reorder the terms:
6y + -5(-4 + y) + 3 = 8
6y + (-4 * -5 + y * -5) + 3 = 8
6y + (20 + -5y) + 3 = 8

Reorder the terms:
20 + 3 + 6y + -5y = 8

Combine like terms: 20 + 3 = 23
23 + 6y + -5y = 8

Combine like terms: 6y + -5y = 1y
23 + 1y = 8

Solving
23 + 1y = 8

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 = 8 + -23

Combine like terms: 23 + -23 = 0
0 + 1y = 8 + -23
1y = 8 + -23

Combine like terms: 8 + -23 = -15
1y = -15

Divide each side by '1'.
y = -15

Simplifying
y = -15

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