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Simplifying 5(5y + 1) + -2 = 3(3y + -1) + -6 Reorder the terms: 5(1 + 5y) + -2 = 3(3y + -1) + -6 (1 * 5 + 5y * 5) + -2 = 3(3y + -1) + -6 (5 + 25y) + -2 = 3(3y + -1) + -6 Reorder the terms: 5 + -2 + 25y = 3(3y + -1) + -6 Combine like terms: 5 + -2 = 3 3 + 25y = 3(3y + -1) + -6 Reorder the terms: 3 + 25y = 3(-1 + 3y) + -6 3 + 25y = (-1 * 3 + 3y * 3) + -6 3 + 25y = (-3 + 9y) + -6 Reorder the terms: 3 + 25y = -3 + -6 + 9y Combine like terms: -3 + -6 = -9 3 + 25y = -9 + 9y Solving 3 + 25y = -9 + 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. 3 + 25y + -9y = -9 + 9y + -9y Combine like terms: 25y + -9y = 16y 3 + 16y = -9 + 9y + -9y Combine like terms: 9y + -9y = 0 3 + 16y = -9 + 0 3 + 16y = -9 Add '-3' to each side of the equation. 3 + -3 + 16y = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 16y = -9 + -3 16y = -9 + -3 Combine like terms: -9 + -3 = -12 16y = -12 Divide each side by '16'. y = -0.75 Simplifying y = -0.75
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