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Simplifying 5(3y + 20) = -2y + 48 Reorder the terms: 5(20 + 3y) = -2y + 48 (20 * 5 + 3y * 5) = -2y + 48 (100 + 15y) = -2y + 48 Reorder the terms: 100 + 15y = 48 + -2y Solving 100 + 15y = 48 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 100 + 15y + 2y = 48 + -2y + 2y Combine like terms: 15y + 2y = 17y 100 + 17y = 48 + -2y + 2y Combine like terms: -2y + 2y = 0 100 + 17y = 48 + 0 100 + 17y = 48 Add '-100' to each side of the equation. 100 + -100 + 17y = 48 + -100 Combine like terms: 100 + -100 = 0 0 + 17y = 48 + -100 17y = 48 + -100 Combine like terms: 48 + -100 = -52 17y = -52 Divide each side by '17'. y = -3.058823529 Simplifying y = -3.058823529
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