3(6y-1)=7(2y+3)

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Solution for 3(6y-1)=7(2y+3) equation:


Simplifying
3(6y + -1) = 7(2y + 3)

Reorder the terms:
3(-1 + 6y) = 7(2y + 3)
(-1 * 3 + 6y * 3) = 7(2y + 3)
(-3 + 18y) = 7(2y + 3)

Reorder the terms:
-3 + 18y = 7(3 + 2y)
-3 + 18y = (3 * 7 + 2y * 7)
-3 + 18y = (21 + 14y)

Solving
-3 + 18y = 21 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
-3 + 18y + -14y = 21 + 14y + -14y

Combine like terms: 18y + -14y = 4y
-3 + 4y = 21 + 14y + -14y

Combine like terms: 14y + -14y = 0
-3 + 4y = 21 + 0
-3 + 4y = 21

Add '3' to each side of the equation.
-3 + 3 + 4y = 21 + 3

Combine like terms: -3 + 3 = 0
0 + 4y = 21 + 3
4y = 21 + 3

Combine like terms: 21 + 3 = 24
4y = 24

Divide each side by '4'.
y = 6

Simplifying
y = 6

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