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

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Solution for 5(2y-1)=4-(6y+2) equation:


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

Reorder the terms:
5(-1 + 2y) = 4 + -1(6y + 2)
(-1 * 5 + 2y * 5) = 4 + -1(6y + 2)
(-5 + 10y) = 4 + -1(6y + 2)

Reorder the terms:
-5 + 10y = 4 + -1(2 + 6y)
-5 + 10y = 4 + (2 * -1 + 6y * -1)
-5 + 10y = 4 + (-2 + -6y)

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

Solving
-5 + 10y = 2 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
-5 + 10y + 6y = 2 + -6y + 6y

Combine like terms: 10y + 6y = 16y
-5 + 16y = 2 + -6y + 6y

Combine like terms: -6y + 6y = 0
-5 + 16y = 2 + 0
-5 + 16y = 2

Add '5' to each side of the equation.
-5 + 5 + 16y = 2 + 5

Combine like terms: -5 + 5 = 0
0 + 16y = 2 + 5
16y = 2 + 5

Combine like terms: 2 + 5 = 7
16y = 7

Divide each side by '16'.
y = 0.4375

Simplifying
y = 0.4375

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