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Simplifying 7y + 75 = 8y + -45 Reorder the terms: 75 + 7y = 8y + -45 Reorder the terms: 75 + 7y = -45 + 8y Solving 75 + 7y = -45 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 75 + 7y + -8y = -45 + 8y + -8y Combine like terms: 7y + -8y = -1y 75 + -1y = -45 + 8y + -8y Combine like terms: 8y + -8y = 0 75 + -1y = -45 + 0 75 + -1y = -45 Add '-75' to each side of the equation. 75 + -75 + -1y = -45 + -75 Combine like terms: 75 + -75 = 0 0 + -1y = -45 + -75 -1y = -45 + -75 Combine like terms: -45 + -75 = -120 -1y = -120 Divide each side by '-1'. y = 120 Simplifying y = 120
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