(5y+8)-(7+4y)=11

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Solution for (5y+8)-(7+4y)=11 equation:


Simplifying
(5y + 8) + -1(7 + 4y) = 11

Reorder the terms:
(8 + 5y) + -1(7 + 4y) = 11

Remove parenthesis around (8 + 5y)
8 + 5y + -1(7 + 4y) = 11
8 + 5y + (7 * -1 + 4y * -1) = 11
8 + 5y + (-7 + -4y) = 11

Reorder the terms:
8 + -7 + 5y + -4y = 11

Combine like terms: 8 + -7 = 1
1 + 5y + -4y = 11

Combine like terms: 5y + -4y = 1y
1 + 1y = 11

Solving
1 + 1y = 11

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + 1y = 11 + -1

Combine like terms: 1 + -1 = 0
0 + 1y = 11 + -1
1y = 11 + -1

Combine like terms: 11 + -1 = 10
1y = 10

Divide each side by '1'.
y = 10

Simplifying
y = 10

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