Question

What is 2y+5x-z=4y+6x and im solving for y

Answer 1

Simplifying
2y + 5x + -1z = 4y + 6x

Reorder the terms:
5x + 2y + -1z = 4y + 6x

Reorder the terms:
5x + 2y + -1z = 6x + 4y

Solving
5x + 2y + -1z = 6x + 4y

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
5x + 2y + -6x + -1z = 6x + -6x + 4y

Reorder the terms:
5x + -6x + 2y + -1z = 6x + -6x + 4y

Combine like terms: 5x + -6x = -1x
-1x + 2y + -1z = 6x + -6x + 4y

Combine like terms: 6x + -6x = 0
-1x + 2y + -1z = 0 + 4y
-1x + 2y + -1z = 4y

Add '-2y' to each side of the equation.
-1x + 2y + -2y + -1z = 4y + -2y

Combine like terms: 2y + -2y = 0
-1x + 0 + -1z = 4y + -2y
-1x + -1z = 4y + -2y

Combine like terms: 4y + -2y = 2y
-1x + -1z = 2y

Add 'z' to each side of the equation.
-1x + -1z + z = 2y + z

Combine like terms: -1z + z = 0
-1x + 0 = 2y + z
-1x = 2y + z

Divide each side by '-1'.
x = -2y + -1z

Simplifying
x = -2y + -1z