(5y+6)-(2y-4)=

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Solution for (5y+6)-(2y-4)= equation:


Simplifying
(5y + 6) + -1(2y + -4) = 0

Reorder the terms:
(6 + 5y) + -1(2y + -4) = 0

Remove parenthesis around (6 + 5y)
6 + 5y + -1(2y + -4) = 0

Reorder the terms:
6 + 5y + -1(-4 + 2y) = 0
6 + 5y + (-4 * -1 + 2y * -1) = 0
6 + 5y + (4 + -2y) = 0

Reorder the terms:
6 + 4 + 5y + -2y = 0

Combine like terms: 6 + 4 = 10
10 + 5y + -2y = 0

Combine like terms: 5y + -2y = 3y
10 + 3y = 0

Solving
10 + 3y = 0

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + 3y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3y = 0 + -10
3y = 0 + -10

Combine like terms: 0 + -10 = -10
3y = -10

Divide each side by '3'.
y = -3.333333333

Simplifying
y = -3.333333333

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