6y-5(y-2)+3=6

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Solution for 6y-5(y-2)+3=6 equation:


Simplifying
6y + -5(y + -2) + 3 = 6

Reorder the terms:
6y + -5(-2 + y) + 3 = 6
6y + (-2 * -5 + y * -5) + 3 = 6
6y + (10 + -5y) + 3 = 6

Reorder the terms:
10 + 3 + 6y + -5y = 6

Combine like terms: 10 + 3 = 13
13 + 6y + -5y = 6

Combine like terms: 6y + -5y = 1y
13 + 1y = 6

Solving
13 + 1y = 6

Solving for variable 'y'.

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

Add '-13' to each side of the equation.
13 + -13 + 1y = 6 + -13

Combine like terms: 13 + -13 = 0
0 + 1y = 6 + -13
1y = 6 + -13

Combine like terms: 6 + -13 = -7
1y = -7

Divide each side by '1'.
y = -7

Simplifying
y = -7

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