Y-1.7y+2.1=1.4(y+4.5)

Solution for Y-1.7y+2.1=1.4(y+4.5) equation:

Simplifying
Y + -1.7y + 2.1 = 1.4(y + 4.5)

Reorder the terms:
2.1 + Y + -1.7y = 1.4(y + 4.5)

Reorder the terms:
2.1 + Y + -1.7y = 1.4(4.5 + y)
2.1 + Y + -1.7y = (4.5 * 1.4 + y * 1.4)
2.1 + Y + -1.7y = (6.3 + 1.4y)

Solving
2.1 + Y + -1.7y = 6.3 + 1.4y

Solving for variable 'Y'.

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

Add '-2.1' to each side of the equation.
2.1 + Y + -2.1 + -1.7y = 6.3 + -2.1 + 1.4y

Reorder the terms:
2.1 + -2.1 + Y + -1.7y = 6.3 + -2.1 + 1.4y

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + Y + -1.7y = 6.3 + -2.1 + 1.4y
Y + -1.7y = 6.3 + -2.1 + 1.4y

Combine like terms: 6.3 + -2.1 = 4.2
Y + -1.7y = 4.2 + 1.4y

Add '1.7y' to each side of the equation.
Y + -1.7y + 1.7y = 4.2 + 1.4y + 1.7y

Combine like terms: -1.7y + 1.7y = 0.0
Y + 0.0 = 4.2 + 1.4y + 1.7y
Y = 4.2 + 1.4y + 1.7y

Combine like terms: 1.4y + 1.7y = 3.1y
Y = 4.2 + 3.1y

Simplifying
Y = 4.2 + 3.1y