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Simplifying 4(6y + -5) + -17 = 5(5y + 5) + 12 Reorder the terms: 4(-5 + 6y) + -17 = 5(5y + 5) + 12 (-5 * 4 + 6y * 4) + -17 = 5(5y + 5) + 12 (-20 + 24y) + -17 = 5(5y + 5) + 12 Reorder the terms: -20 + -17 + 24y = 5(5y + 5) + 12 Combine like terms: -20 + -17 = -37 -37 + 24y = 5(5y + 5) + 12 Reorder the terms: -37 + 24y = 5(5 + 5y) + 12 -37 + 24y = (5 * 5 + 5y * 5) + 12 -37 + 24y = (25 + 25y) + 12 Reorder the terms: -37 + 24y = 25 + 12 + 25y Combine like terms: 25 + 12 = 37 -37 + 24y = 37 + 25y Solving -37 + 24y = 37 + 25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25y' to each side of the equation. -37 + 24y + -25y = 37 + 25y + -25y Combine like terms: 24y + -25y = -1y -37 + -1y = 37 + 25y + -25y Combine like terms: 25y + -25y = 0 -37 + -1y = 37 + 0 -37 + -1y = 37 Add '37' to each side of the equation. -37 + 37 + -1y = 37 + 37 Combine like terms: -37 + 37 = 0 0 + -1y = 37 + 37 -1y = 37 + 37 Combine like terms: 37 + 37 = 74 -1y = 74 Divide each side by '-1'. y = -74 Simplifying y = -74
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