(4y+8)-(2+3y)=9

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Solution for (4y+8)-(2+3y)=9 equation:


Simplifying
(4y + 8) + -1(2 + 3y) = 9

Reorder the terms:
(8 + 4y) + -1(2 + 3y) = 9

Remove parenthesis around (8 + 4y)
8 + 4y + -1(2 + 3y) = 9
8 + 4y + (2 * -1 + 3y * -1) = 9
8 + 4y + (-2 + -3y) = 9

Reorder the terms:
8 + -2 + 4y + -3y = 9

Combine like terms: 8 + -2 = 6
6 + 4y + -3y = 9

Combine like terms: 4y + -3y = 1y
6 + 1y = 9

Solving
6 + 1y = 9

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 1y = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = 9 + -6
1y = 9 + -6

Combine like terms: 9 + -6 = 3
1y = 3

Divide each side by '1'.
y = 3

Simplifying
y = 3

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