2.1(y-14)=1.2(y-11)

Solution for 2.1(y-14)=1.2(y-11) equation:

Simplifying
2.1(y + -14) = 1.2(y + -11)

Reorder the terms:
2.1(-14 + y) = 1.2(y + -11)
(-14 * 2.1 + y * 2.1) = 1.2(y + -11)
(-29.4 + 2.1y) = 1.2(y + -11)

Reorder the terms:
-29.4 + 2.1y = 1.2(-11 + y)
-29.4 + 2.1y = (-11 * 1.2 + y * 1.2)
-29.4 + 2.1y = (-13.2 + 1.2y)

Solving
-29.4 + 2.1y = -13.2 + 1.2y

Solving for variable 'y'.

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

Add '-1.2y' to each side of the equation.
-29.4 + 2.1y + -1.2y = -13.2 + 1.2y + -1.2y

Combine like terms: 2.1y + -1.2y = 0.9y
-29.4 + 0.9y = -13.2 + 1.2y + -1.2y

Combine like terms: 1.2y + -1.2y = 0.0
-29.4 + 0.9y = -13.2 + 0.0
-29.4 + 0.9y = -13.2

Add '29.4' to each side of the equation.
-29.4 + 29.4 + 0.9y = -13.2 + 29.4

Combine like terms: -29.4 + 29.4 = 0.0
0.0 + 0.9y = -13.2 + 29.4
0.9y = -13.2 + 29.4

Combine like terms: -13.2 + 29.4 = 16.2
0.9y = 16.2

Divide each side by '0.9'.
y = 18

Simplifying
y = 18