Solve: -1y+42 = -2y+12
Answer
y = -30
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: -1y+42 = -y + 42
- Expand and simplify the right-hand side: -2y+12 = -2y + 12
- Move every term to one side so the equation reads "...= 0": y + 30 = 0
- This is a linear equation of the form ay+b=0, with a=1 and b=30.
- Solve for y: y = -b/a = -(30)/1 = -30
Theory & Definitions
A linear equation in one unknown can always be rearranged into the form ay+b=0 (a≠0), which has exactly one solution: y = -b/a.
Frequently Asked Questions
What is the solution to -1y+42 = -2y+12?
y = -30.