-1.4(y-18)=2.1(y-6)

Solution for -1.4(y-18)=2.1(y-6) equation:

Simplifying
-1.4(y + -18) = 2.1(y + -6)

Reorder the terms:
-1.4(-18 + y) = 2.1(y + -6)
(-18 * -1.4 + y * -1.4) = 2.1(y + -6)
(25.2 + -1.4y) = 2.1(y + -6)

Reorder the terms:
25.2 + -1.4y = 2.1(-6 + y)
25.2 + -1.4y = (-6 * 2.1 + y * 2.1)
25.2 + -1.4y = (-12.6 + 2.1y)

Solving
25.2 + -1.4y = -12.6 + 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.
25.2 + -1.4y + -2.1y = -12.6 + 2.1y + -2.1y

Combine like terms: -1.4y + -2.1y = -3.5y
25.2 + -3.5y = -12.6 + 2.1y + -2.1y

Combine like terms: 2.1y + -2.1y = 0.0
25.2 + -3.5y = -12.6 + 0.0
25.2 + -3.5y = -12.6

Add '-25.2' to each side of the equation.
25.2 + -25.2 + -3.5y = -12.6 + -25.2

Combine like terms: 25.2 + -25.2 = 0.0
0.0 + -3.5y = -12.6 + -25.2
-3.5y = -12.6 + -25.2

Combine like terms: -12.6 + -25.2 = -37.8
-3.5y = -37.8

Divide each side by '-3.5'.
y = 10.8

Simplifying
y = 10.8