(5y+8)-(2+4y)=7

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Solution for (5y+8)-(2+4y)=7 equation:


Simplifying
(5y + 8) + -1(2 + 4y) = 7

Reorder the terms:
(8 + 5y) + -1(2 + 4y) = 7

Remove parenthesis around (8 + 5y)
8 + 5y + -1(2 + 4y) = 7
8 + 5y + (2 * -1 + 4y * -1) = 7
8 + 5y + (-2 + -4y) = 7

Reorder the terms:
8 + -2 + 5y + -4y = 7

Combine like terms: 8 + -2 = 6
6 + 5y + -4y = 7

Combine like terms: 5y + -4y = 1y
6 + 1y = 7

Solving
6 + 1y = 7

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 = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = 7 + -6
1y = 7 + -6

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

Divide each side by '1'.
y = 1

Simplifying
y = 1

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