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

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


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

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

Reorder the terms:
-5 + 10y = 6(2 + y)
-5 + 10y = (2 * 6 + y * 6)
-5 + 10y = (12 + 6y)

Solving
-5 + 10y = 12 + 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 = 12 + 6y + -6y

Combine like terms: 10y + -6y = 4y
-5 + 4y = 12 + 6y + -6y

Combine like terms: 6y + -6y = 0
-5 + 4y = 12 + 0
-5 + 4y = 12

Add '5' to each side of the equation.
-5 + 5 + 4y = 12 + 5

Combine like terms: -5 + 5 = 0
0 + 4y = 12 + 5
4y = 12 + 5

Combine like terms: 12 + 5 = 17
4y = 17

Divide each side by '4'.
y = 4.25

Simplifying
y = 4.25

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