154=34(1.25+x)+[(1.25+y)-y]

Solution for 154=34(1.25+x)+[(1.25+y)-y] equation:

Simplifying
154 = 34(1.25 + x) + [(1.25 + y) + -1y]
154 = (1.25 * 34 + x * 34) + [(1.25 + y) + -1y]
154 = (42.5 + 34x) + [(1.25 + y) + -1y]

Remove parenthesis around (1.25 + y)
154 = 42.5 + 34x + [1.25 + y + -1y]

Combine like terms: y + -1y = 0
154 = 42.5 + 34x + [1.25 + 0]
154 = 42.5 + 34x + [1.25]
154 = 42.5 + 34x + 1.25

Reorder the terms:
154 = 42.5 + 1.25 + 34x

Combine like terms: 42.5 + 1.25 = 43.75
154 = 43.75 + 34x

Solving
154 = 43.75 + 34x

Solving for variable 'x'.

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

Add '-34x' to each side of the equation.
154 + -34x = 43.75 + 34x + -34x

Combine like terms: 34x + -34x = 0
154 + -34x = 43.75 + 0
154 + -34x = 43.75

Add '-154' to each side of the equation.
154 + -154 + -34x = 43.75 + -154

Combine like terms: 154 + -154 = 0
0 + -34x = 43.75 + -154
-34x = 43.75 + -154

Combine like terms: 43.75 + -154 = -110.25
-34x = -110.25

Divide each side by '-34'.
x = 3.242647059

Simplifying
x = 3.242647059