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Simplifying 5(6 + -1y) = 3(y + 2) (6 * 5 + -1y * 5) = 3(y + 2) (30 + -5y) = 3(y + 2) Reorder the terms: 30 + -5y = 3(2 + y) 30 + -5y = (2 * 3 + y * 3) 30 + -5y = (6 + 3y) Solving 30 + -5y = 6 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 30 + -5y + -3y = 6 + 3y + -3y Combine like terms: -5y + -3y = -8y 30 + -8y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 30 + -8y = 6 + 0 30 + -8y = 6 Add '-30' to each side of the equation. 30 + -30 + -8y = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -8y = 6 + -30 -8y = 6 + -30 Combine like terms: 6 + -30 = -24 -8y = -24 Divide each side by '-8'. y = 3 Simplifying y = 3
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