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Simplifying 6(y + 5) = 18 + -2y Reorder the terms: 6(5 + y) = 18 + -2y (5 * 6 + y * 6) = 18 + -2y (30 + 6y) = 18 + -2y Solving 30 + 6y = 18 + -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. 30 + 6y + 2y = 18 + -2y + 2y Combine like terms: 6y + 2y = 8y 30 + 8y = 18 + -2y + 2y Combine like terms: -2y + 2y = 0 30 + 8y = 18 + 0 30 + 8y = 18 Add '-30' to each side of the equation. 30 + -30 + 8y = 18 + -30 Combine like terms: 30 + -30 = 0 0 + 8y = 18 + -30 8y = 18 + -30 Combine like terms: 18 + -30 = -12 8y = -12 Divide each side by '8'. y = -1.5 Simplifying y = -1.5
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