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Simplifying -20 + 4(2y + 17) = 20 + -5y + 15 Reorder the terms: -20 + 4(17 + 2y) = 20 + -5y + 15 -20 + (17 * 4 + 2y * 4) = 20 + -5y + 15 -20 + (68 + 8y) = 20 + -5y + 15 Combine like terms: -20 + 68 = 48 48 + 8y = 20 + -5y + 15 Reorder the terms: 48 + 8y = 20 + 15 + -5y Combine like terms: 20 + 15 = 35 48 + 8y = 35 + -5y Solving 48 + 8y = 35 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 48 + 8y + 5y = 35 + -5y + 5y Combine like terms: 8y + 5y = 13y 48 + 13y = 35 + -5y + 5y Combine like terms: -5y + 5y = 0 48 + 13y = 35 + 0 48 + 13y = 35 Add '-48' to each side of the equation. 48 + -48 + 13y = 35 + -48 Combine like terms: 48 + -48 = 0 0 + 13y = 35 + -48 13y = 35 + -48 Combine like terms: 35 + -48 = -13 13y = -13 Divide each side by '13'. y = -1 Simplifying y = -1
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