(5y+6)-(2+4y)=9

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Solution for (5y+6)-(2+4y)=9 equation:


Simplifying
(5y + 6) + -1(2 + 4y) = 9

Reorder the terms:
(6 + 5y) + -1(2 + 4y) = 9

Remove parenthesis around (6 + 5y)
6 + 5y + -1(2 + 4y) = 9
6 + 5y + (2 * -1 + 4y * -1) = 9
6 + 5y + (-2 + -4y) = 9

Reorder the terms:
6 + -2 + 5y + -4y = 9

Combine like terms: 6 + -2 = 4
4 + 5y + -4y = 9

Combine like terms: 5y + -4y = 1y
4 + 1y = 9

Solving
4 + 1y = 9

Solving for variable 'y'.

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

Add '-4' to each side of the equation.
4 + -4 + 1y = 9 + -4

Combine like terms: 4 + -4 = 0
0 + 1y = 9 + -4
1y = 9 + -4

Combine like terms: 9 + -4 = 5
1y = 5

Divide each side by '1'.
y = 5

Simplifying
y = 5

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