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

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


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

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

Reorder the terms:
-3 + 15y = 2(4 + 6y) + 1
-3 + 15y = (4 * 2 + 6y * 2) + 1
-3 + 15y = (8 + 12y) + 1

Reorder the terms:
-3 + 15y = 8 + 1 + 12y

Combine like terms: 8 + 1 = 9
-3 + 15y = 9 + 12y

Solving
-3 + 15y = 9 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-3 + 15y + -12y = 9 + 12y + -12y

Combine like terms: 15y + -12y = 3y
-3 + 3y = 9 + 12y + -12y

Combine like terms: 12y + -12y = 0
-3 + 3y = 9 + 0
-3 + 3y = 9

Add '3' to each side of the equation.
-3 + 3 + 3y = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 3y = 9 + 3
3y = 9 + 3

Combine like terms: 9 + 3 = 12
3y = 12

Divide each side by '3'.
y = 4

Simplifying
y = 4

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