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Simplifying -82 + 16y + 5 = 5(5y + -4) + -3 Reorder the terms: -82 + 5 + 16y = 5(5y + -4) + -3 Combine like terms: -82 + 5 = -77 -77 + 16y = 5(5y + -4) + -3 Reorder the terms: -77 + 16y = 5(-4 + 5y) + -3 -77 + 16y = (-4 * 5 + 5y * 5) + -3 -77 + 16y = (-20 + 25y) + -3 Reorder the terms: -77 + 16y = -20 + -3 + 25y Combine like terms: -20 + -3 = -23 -77 + 16y = -23 + 25y Solving -77 + 16y = -23 + 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. -77 + 16y + -25y = -23 + 25y + -25y Combine like terms: 16y + -25y = -9y -77 + -9y = -23 + 25y + -25y Combine like terms: 25y + -25y = 0 -77 + -9y = -23 + 0 -77 + -9y = -23 Add '77' to each side of the equation. -77 + 77 + -9y = -23 + 77 Combine like terms: -77 + 77 = 0 0 + -9y = -23 + 77 -9y = -23 + 77 Combine like terms: -23 + 77 = 54 -9y = 54 Divide each side by '-9'. y = -6 Simplifying y = -6
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