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Simplifying -8 + 3(-3y + -3) = -5(5y + 3) + -8 Reorder the terms: -8 + 3(-3 + -3y) = -5(5y + 3) + -8 -8 + (-3 * 3 + -3y * 3) = -5(5y + 3) + -8 -8 + (-9 + -9y) = -5(5y + 3) + -8 Combine like terms: -8 + -9 = -17 -17 + -9y = -5(5y + 3) + -8 Reorder the terms: -17 + -9y = -5(3 + 5y) + -8 -17 + -9y = (3 * -5 + 5y * -5) + -8 -17 + -9y = (-15 + -25y) + -8 Reorder the terms: -17 + -9y = -15 + -8 + -25y Combine like terms: -15 + -8 = -23 -17 + -9y = -23 + -25y Solving -17 + -9y = -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. -17 + -9y + 25y = -23 + -25y + 25y Combine like terms: -9y + 25y = 16y -17 + 16y = -23 + -25y + 25y Combine like terms: -25y + 25y = 0 -17 + 16y = -23 + 0 -17 + 16y = -23 Add '17' to each side of the equation. -17 + 17 + 16y = -23 + 17 Combine like terms: -17 + 17 = 0 0 + 16y = -23 + 17 16y = -23 + 17 Combine like terms: -23 + 17 = -6 16y = -6 Divide each side by '16'. y = -0.375 Simplifying y = -0.375
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