2(8y-2.7)+5.1=3(7y-0.1)

Solution for 2(8y-2.7)+5.1=3(7y-0.1) equation:

Simplifying
2(8y + -2.7) + 5.1 = 3(7y + -0.1)

Reorder the terms:
2(-2.7 + 8y) + 5.1 = 3(7y + -0.1)
(-2.7 * 2 + 8y * 2) + 5.1 = 3(7y + -0.1)
(-5.4 + 16y) + 5.1 = 3(7y + -0.1)

Reorder the terms:
-5.4 + 5.1 + 16y = 3(7y + -0.1)

Combine like terms: -5.4 + 5.1 = -0.3
-0.3 + 16y = 3(7y + -0.1)

Reorder the terms:
-0.3 + 16y = 3(-0.1 + 7y)
-0.3 + 16y = (-0.1 * 3 + 7y * 3)
-0.3 + 16y = (-0.3 + 21y)

Add '0.3' to each side of the equation.
-0.3 + 0.3 + 16y = -0.3 + 0.3 + 21y

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + 16y = -0.3 + 0.3 + 21y
16y = -0.3 + 0.3 + 21y

Combine like terms: -0.3 + 0.3 = 0.0
16y = 0.0 + 21y
16y = 21y

Solving
16y = 21y

Solving for variable 'y'.

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

Add '-21y' to each side of the equation.
16y + -21y = 21y + -21y

Combine like terms: 16y + -21y = -5y
-5y = 21y + -21y

Combine like terms: 21y + -21y = 0
-5y = 0

Divide each side by '-5'.
y = 0

Simplifying
y = 0