((1.5+x)*4)+((x-1.5)*5)=y

Solution for ((1.5+x)*4)+((x-1.5)*5)=y equation:

Simplifying
((1.5 + x) * 4) + ((x + -1.5) * 5) = y

Reorder the terms for easier multiplication:
(4(1.5 + x)) + ((x + -1.5) * 5) = y
((1.5 * 4 + x * 4)) + ((x + -1.5) * 5) = y
((6 + 4x)) + ((x + -1.5) * 5) = y
(6 + 4x) + ((x + -1.5) * 5) = y

Remove parenthesis around (6 + 4x)
6 + 4x + ((x + -1.5) * 5) = y

Reorder the terms:
6 + 4x + ((-1.5 + x) * 5) = y

Reorder the terms for easier multiplication:
6 + 4x + (5(-1.5 + x)) = y
6 + 4x + ((-1.5 * 5 + x * 5)) = y
6 + 4x + ((-7.5 + 5x)) = y
6 + 4x + (-7.5 + 5x) = y

Remove parenthesis around (-7.5 + 5x)
6 + 4x + -7.5 + 5x = y

Reorder the terms:
6 + -7.5 + 4x + 5x = y

Combine like terms: 6 + -7.5 = -1.5
-1.5 + 4x + 5x = y

Combine like terms: 4x + 5x = 9x
-1.5 + 9x = y

Solving
-1.5 + 9x = y

Solving for variable 'x'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 9x = 1.5 + y

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 9x = 1.5 + y
9x = 1.5 + y

Divide each side by '9'.
x = 0.1666666667 + 0.1111111111y

Simplifying
x = 0.1666666667 + 0.1111111111y