0.6(y+1.5)=2.1(y-3)

Solution for 0.6(y+1.5)=2.1(y-3) equation:

Simplifying
0.6(y + 1.5) = 2.1(y + -3)

Reorder the terms:
0.6(1.5 + y) = 2.1(y + -3)
(1.5 * 0.6 + y * 0.6) = 2.1(y + -3)
(0.9 + 0.6y) = 2.1(y + -3)

Reorder the terms:
0.9 + 0.6y = 2.1(-3 + y)
0.9 + 0.6y = (-3 * 2.1 + y * 2.1)
0.9 + 0.6y = (-6.3 + 2.1y)

Solving
0.9 + 0.6y = -6.3 + 2.1y

Solving for variable 'y'.

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

Add '-2.1y' to each side of the equation.
0.9 + 0.6y + -2.1y = -6.3 + 2.1y + -2.1y

Combine like terms: 0.6y + -2.1y = -1.5y
0.9 + -1.5y = -6.3 + 2.1y + -2.1y

Combine like terms: 2.1y + -2.1y = 0.0
0.9 + -1.5y = -6.3 + 0.0
0.9 + -1.5y = -6.3

Add '-0.9' to each side of the equation.
0.9 + -0.9 + -1.5y = -6.3 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + -1.5y = -6.3 + -0.9
-1.5y = -6.3 + -0.9

Combine like terms: -6.3 + -0.9 = -7.2
-1.5y = -7.2

Divide each side by '-1.5'.
y = 4.8

Simplifying
y = 4.8