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Simplifying -75 + 16y + 3 = 5(5y + -5) + -2 Reorder the terms: -75 + 3 + 16y = 5(5y + -5) + -2 Combine like terms: -75 + 3 = -72 -72 + 16y = 5(5y + -5) + -2 Reorder the terms: -72 + 16y = 5(-5 + 5y) + -2 -72 + 16y = (-5 * 5 + 5y * 5) + -2 -72 + 16y = (-25 + 25y) + -2 Reorder the terms: -72 + 16y = -25 + -2 + 25y Combine like terms: -25 + -2 = -27 -72 + 16y = -27 + 25y Solving -72 + 16y = -27 + 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. -72 + 16y + -25y = -27 + 25y + -25y Combine like terms: 16y + -25y = -9y -72 + -9y = -27 + 25y + -25y Combine like terms: 25y + -25y = 0 -72 + -9y = -27 + 0 -72 + -9y = -27 Add '72' to each side of the equation. -72 + 72 + -9y = -27 + 72 Combine like terms: -72 + 72 = 0 0 + -9y = -27 + 72 -9y = -27 + 72 Combine like terms: -27 + 72 = 45 -9y = 45 Divide each side by '-9'. y = -5 Simplifying y = -5
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