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Simplifying 500 + -1b = 455 + -1b + y Add 'b' to each side of the equation. 500 + -1b + b = 455 + -1b + b + y Combine like terms: -1b + b = 0 500 + 0 = 455 + -1b + b + y 500 = 455 + -1b + b + y Combine like terms: -1b + b = 0 500 = 455 + 0 + y 500 = 455 + y Solving 500 = 455 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 500 + -1y = 455 + y + -1y Combine like terms: y + -1y = 0 500 + -1y = 455 + 0 500 + -1y = 455 Add '-500' to each side of the equation. 500 + -500 + -1y = 455 + -500 Combine like terms: 500 + -500 = 0 0 + -1y = 455 + -500 -1y = 455 + -500 Combine like terms: 455 + -500 = -45 -1y = -45 Divide each side by '-1'. y = 45 Simplifying y = 45
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