y-5.4y+4.6=1.4(y-5)

Solution for y-5.4y+4.6=1.4(y-5) equation:

Simplifying
y + -5.4y + 4.6 = 1.4(y + -5)

Reorder the terms:
4.6 + y + -5.4y = 1.4(y + -5)

Combine like terms: y + -5.4y = -4.4y
4.6 + -4.4y = 1.4(y + -5)

Reorder the terms:
4.6 + -4.4y = 1.4(-5 + y)
4.6 + -4.4y = (-5 * 1.4 + y * 1.4)
4.6 + -4.4y = (-7 + 1.4y)

Solving
4.6 + -4.4y = -7 + 1.4y

Solving for variable 'y'.

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

Add '-1.4y' to each side of the equation.
4.6 + -4.4y + -1.4y = -7 + 1.4y + -1.4y

Combine like terms: -4.4y + -1.4y = -5.8y
4.6 + -5.8y = -7 + 1.4y + -1.4y

Combine like terms: 1.4y + -1.4y = 0.0
4.6 + -5.8y = -7 + 0.0
4.6 + -5.8y = -7

Add '-4.6' to each side of the equation.
4.6 + -4.6 + -5.8y = -7 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + -5.8y = -7 + -4.6
-5.8y = -7 + -4.6

Combine like terms: -7 + -4.6 = -11.6
-5.8y = -11.6

Divide each side by '-5.8'.
y = 2

Simplifying
y = 2