5(3y-1)+6=5(2y+4)

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Solution for 5(3y-1)+6=5(2y+4) equation:


Simplifying
5(3y + -1) + 6 = 5(2y + 4)

Reorder the terms:
5(-1 + 3y) + 6 = 5(2y + 4)
(-1 * 5 + 3y * 5) + 6 = 5(2y + 4)
(-5 + 15y) + 6 = 5(2y + 4)

Reorder the terms:
-5 + 6 + 15y = 5(2y + 4)

Combine like terms: -5 + 6 = 1
1 + 15y = 5(2y + 4)

Reorder the terms:
1 + 15y = 5(4 + 2y)
1 + 15y = (4 * 5 + 2y * 5)
1 + 15y = (20 + 10y)

Solving
1 + 15y = 20 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
1 + 15y + -10y = 20 + 10y + -10y

Combine like terms: 15y + -10y = 5y
1 + 5y = 20 + 10y + -10y

Combine like terms: 10y + -10y = 0
1 + 5y = 20 + 0
1 + 5y = 20

Add '-1' to each side of the equation.
1 + -1 + 5y = 20 + -1

Combine like terms: 1 + -1 = 0
0 + 5y = 20 + -1
5y = 20 + -1

Combine like terms: 20 + -1 = 19
5y = 19

Divide each side by '5'.
y = 3.8

Simplifying
y = 3.8

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