(6y+8)-(3+5y)=12

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Solution for (6y+8)-(3+5y)=12 equation:


Simplifying
(6y + 8) + -1(3 + 5y) = 12

Reorder the terms:
(8 + 6y) + -1(3 + 5y) = 12

Remove parenthesis around (8 + 6y)
8 + 6y + -1(3 + 5y) = 12
8 + 6y + (3 * -1 + 5y * -1) = 12
8 + 6y + (-3 + -5y) = 12

Reorder the terms:
8 + -3 + 6y + -5y = 12

Combine like terms: 8 + -3 = 5
5 + 6y + -5y = 12

Combine like terms: 6y + -5y = 1y
5 + 1y = 12

Solving
5 + 1y = 12

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + 1y = 12 + -5

Combine like terms: 5 + -5 = 0
0 + 1y = 12 + -5
1y = 12 + -5

Combine like terms: 12 + -5 = 7
1y = 7

Divide each side by '1'.
y = 7

Simplifying
y = 7

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