6(y+2.6)=3(3.4-y)

Solution for 6(y+2.6)=3(3.4-y) equation:

Simplifying
6(y + 2.6) = 3(3.4 + -1y)

Reorder the terms:
6(2.6 + y) = 3(3.4 + -1y)
(2.6 * 6 + y * 6) = 3(3.4 + -1y)
(15.6 + 6y) = 3(3.4 + -1y)
15.6 + 6y = (3.4 * 3 + -1y * 3)
15.6 + 6y = (10.2 + -3y)

Solving
15.6 + 6y = 10.2 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
15.6 + 6y + 3y = 10.2 + -3y + 3y

Combine like terms: 6y + 3y = 9y
15.6 + 9y = 10.2 + -3y + 3y

Combine like terms: -3y + 3y = 0
15.6 + 9y = 10.2 + 0
15.6 + 9y = 10.2

Add '-15.6' to each side of the equation.
15.6 + -15.6 + 9y = 10.2 + -15.6

Combine like terms: 15.6 + -15.6 = 0.0
0.0 + 9y = 10.2 + -15.6
9y = 10.2 + -15.6

Combine like terms: 10.2 + -15.6 = -5.4
9y = -5.4

Divide each side by '9'.
y = -0.6

Simplifying
y = -0.6