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

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

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

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

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

Combine like terms: 6y + 3y = 9y
-15 + 9y = 4(y + 1) + -2

Reorder the terms:
-15 + 9y = 4(1 + y) + -2
-15 + 9y = (1 * 4 + y * 4) + -2
-15 + 9y = (4 + 4y) + -2

Reorder the terms:
-15 + 9y = 4 + -2 + 4y

Combine like terms: 4 + -2 = 2
-15 + 9y = 2 + 4y

Solving
-15 + 9y = 2 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-15 + 9y + -4y = 2 + 4y + -4y

Combine like terms: 9y + -4y = 5y
-15 + 5y = 2 + 4y + -4y

Combine like terms: 4y + -4y = 0
-15 + 5y = 2 + 0
-15 + 5y = 2

Add '15' to each side of the equation.
-15 + 15 + 5y = 2 + 15

Combine like terms: -15 + 15 = 0
0 + 5y = 2 + 15
5y = 2 + 15

Combine like terms: 2 + 15 = 17
5y = 17

Divide each side by '5'.
y = 3.4

Simplifying
y = 3.4