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Simplifying 5(5y + -3) + 24 = 3(3y + -4) + -22 Reorder the terms: 5(-3 + 5y) + 24 = 3(3y + -4) + -22 (-3 * 5 + 5y * 5) + 24 = 3(3y + -4) + -22 (-15 + 25y) + 24 = 3(3y + -4) + -22 Reorder the terms: -15 + 24 + 25y = 3(3y + -4) + -22 Combine like terms: -15 + 24 = 9 9 + 25y = 3(3y + -4) + -22 Reorder the terms: 9 + 25y = 3(-4 + 3y) + -22 9 + 25y = (-4 * 3 + 3y * 3) + -22 9 + 25y = (-12 + 9y) + -22 Reorder the terms: 9 + 25y = -12 + -22 + 9y Combine like terms: -12 + -22 = -34 9 + 25y = -34 + 9y Solving 9 + 25y = -34 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 9 + 25y + -9y = -34 + 9y + -9y Combine like terms: 25y + -9y = 16y 9 + 16y = -34 + 9y + -9y Combine like terms: 9y + -9y = 0 9 + 16y = -34 + 0 9 + 16y = -34 Add '-9' to each side of the equation. 9 + -9 + 16y = -34 + -9 Combine like terms: 9 + -9 = 0 0 + 16y = -34 + -9 16y = -34 + -9 Combine like terms: -34 + -9 = -43 16y = -43 Divide each side by '16'. y = -2.6875 Simplifying y = -2.6875
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