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Simplifying 3y + -1(2y + -5) = 3(2y + 4) Reorder the terms: 3y + -1(-5 + 2y) = 3(2y + 4) 3y + (-5 * -1 + 2y * -1) = 3(2y + 4) 3y + (5 + -2y) = 3(2y + 4) Reorder the terms: 5 + 3y + -2y = 3(2y + 4) Combine like terms: 3y + -2y = 1y 5 + 1y = 3(2y + 4) Reorder the terms: 5 + 1y = 3(4 + 2y) 5 + 1y = (4 * 3 + 2y * 3) 5 + 1y = (12 + 6y) Solving 5 + 1y = 12 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 5 + 1y + -6y = 12 + 6y + -6y Combine like terms: 1y + -6y = -5y 5 + -5y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 5 + -5y = 12 + 0 5 + -5y = 12 Add '-5' to each side of the equation. 5 + -5 + -5y = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -5y = 12 + -5 -5y = 12 + -5 Combine like terms: 12 + -5 = 7 -5y = 7 Divide each side by '-5'. y = -1.4 Simplifying y = -1.4
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