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

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


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

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

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

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

Combine like terms: 8 + -5 = 3
3 + 5y + -4y = 4

Combine like terms: 5y + -4y = 1y
3 + 1y = 4

Solving
3 + 1y = 4

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + 1y = 4 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 4 + -3
1y = 4 + -3

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

Divide each side by '1'.
y = 1

Simplifying
y = 1

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