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Simplifying 3(5 + -1y) = 3(4 + y) (5 * 3 + -1y * 3) = 3(4 + y) (15 + -3y) = 3(4 + y) 15 + -3y = (4 * 3 + y * 3) 15 + -3y = (12 + 3y) Solving 15 + -3y = 12 + 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. 15 + -3y + -3y = 12 + 3y + -3y Combine like terms: -3y + -3y = -6y 15 + -6y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 15 + -6y = 12 + 0 15 + -6y = 12 Add '-15' to each side of the equation. 15 + -15 + -6y = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -6y = 12 + -15 -6y = 12 + -15 Combine like terms: 12 + -15 = -3 -6y = -3 Divide each side by '-6'. y = 0.5 Simplifying y = 0.5
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