(5y+8)-(6+4y)=10

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Solution for (5y+8)-(6+4y)=10 equation: 


Simplifying
(5y + 8) + -1(6 + 4y) = 10

Reorder the terms:
(8 + 5y) + -1(6 + 4y) = 10

Remove parenthesis around (8 + 5y)
8 + 5y + -1(6 + 4y) = 10
8 + 5y + (6 * -1 + 4y * -1) = 10
8 + 5y + (-6 + -4y) = 10

Reorder the terms:
8 + -6 + 5y + -4y = 10

Combine like terms: 8 + -6 = 2
2 + 5y + -4y = 10

Combine like terms: 5y + -4y = 1y
2 + 1y = 10

Solving
2 + 1y = 10

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 = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = 10 + -2
1y = 10 + -2

Combine like terms: 10 + -2 = 8
1y = 8

Divide each side by '1'.
y = 8

Simplifying
y = 8

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