3(5y-3.7)+10.5=2(9y-0.3)

Solution for 3(5y-3.7)+10.5=2(9y-0.3) equation:

Simplifying
3(5y + -3.7) + 10.5 = 2(9y + -0.3)

Reorder the terms:
3(-3.7 + 5y) + 10.5 = 2(9y + -0.3)
(-3.7 * 3 + 5y * 3) + 10.5 = 2(9y + -0.3)
(-11.1 + 15y) + 10.5 = 2(9y + -0.3)

Reorder the terms:
-11.1 + 10.5 + 15y = 2(9y + -0.3)

Combine like terms: -11.1 + 10.5 = -0.6
-0.6 + 15y = 2(9y + -0.3)

Reorder the terms:
-0.6 + 15y = 2(-0.3 + 9y)
-0.6 + 15y = (-0.3 * 2 + 9y * 2)
-0.6 + 15y = (-0.6 + 18y)

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 15y = -0.6 + 0.6 + 18y

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 15y = -0.6 + 0.6 + 18y
15y = -0.6 + 0.6 + 18y

Combine like terms: -0.6 + 0.6 = 0.0
15y = 0.0 + 18y
15y = 18y

Solving
15y = 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
15y + -18y = 18y + -18y

Combine like terms: 15y + -18y = -3y
-3y = 18y + -18y

Combine like terms: 18y + -18y = 0
-3y = 0

Divide each side by '-3'.
y = 0

Simplifying
y = 0