(5y+4)-(2+4y)=12

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Solution for (5y+4)-(2+4y)=12 equation:


Simplifying
(5y + 4) + -1(2 + 4y) = 12

Reorder the terms:
(4 + 5y) + -1(2 + 4y) = 12

Remove parenthesis around (4 + 5y)
4 + 5y + -1(2 + 4y) = 12
4 + 5y + (2 * -1 + 4y * -1) = 12
4 + 5y + (-2 + -4y) = 12

Reorder the terms:
4 + -2 + 5y + -4y = 12

Combine like terms: 4 + -2 = 2
2 + 5y + -4y = 12

Combine like terms: 5y + -4y = 1y
2 + 1y = 12

Solving
2 + 1y = 12

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 1y = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = 12 + -2
1y = 12 + -2

Combine like terms: 12 + -2 = 10
1y = 10

Divide each side by '1'.
y = 10

Simplifying
y = 10

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