Answer:
y = 9 + -1x + 5x2
Step-by-step explanation:
Simplifying
4y + -7 = 5x2 + -1x + 2 + 3y
Reorder the terms:
-7 + 4y = 5x2 + -1x + 2 + 3y
Reorder the terms:
-7 + 4y = 2 + -1x + 5x2 + 3y
Solving
-7 + 4y = 2 + -1x + 5x2 + 3y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3y' to each side of the equation.
-7 + 4y + -3y = 2 + -1x + 5x2 + 3y + -3y
Combine like terms: 4y + -3y = 1y
-7 + 1y = 2 + -1x + 5x2 + 3y + -3y
Combine like terms: 3y + -3y = 0
-7 + 1y = 2 + -1x + 5x2 + 0
-7 + 1y = 2 + -1x + 5x2
Add '7' to each side of the equation.
-7 + 7 + 1y = 2 + -1x + 7 + 5x2
Combine like terms: -7 + 7 = 0
0 + 1y = 2 + -1x + 7 + 5x2
1y = 2 + -1x + 7 + 5x2
Reorder the terms:
1y = 2 + 7 + -1x + 5x2
Combine like terms: 2 + 7 = 9
1y = 9 + -1x + 5x2
Divide each side by '1'.
y = 9 + -1x + 5x2
Simplifying
y = 9 + -1x + 5x2
