Final answer:
To solve the given equation, distribute the 4, combine like terms, move the constant term, simplify, and isolate the variable y to find that y = 4.
Step-by-step explanation:
To solve the equation 90=4(5y+7)-18, we will follow these steps:
- Simplify the equation by distributing the 4 to the terms inside the parentheses: 90 = 20y + 28 - 18
- Combine like terms: 90 = 20y + 10
- Move the constant term to the other side of the equation by subtracting 10 from both sides: 90 - 10 = 20y
- Further simplify: 80 = 20y
- Divide both sides of the equation by 20 to isolate the variable y: 4 = y
Therefore, the solution to the equation is y = 4.