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Simplifying 5(3y + -1) + 2 = -3y + 6 Reorder the terms: 5(-1 + 3y) + 2 = -3y + 6 (-1 * 5 + 3y * 5) + 2 = -3y + 6 (-5 + 15y) + 2 = -3y + 6 Reorder the terms: -5 + 2 + 15y = -3y + 6 Combine like terms: -5 + 2 = -3 -3 + 15y = -3y + 6 Reorder the terms: -3 + 15y = 6 + -3y Solving -3 + 15y = 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. -3 + 15y + 3y = 6 + -3y + 3y Combine like terms: 15y + 3y = 18y -3 + 18y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 -3 + 18y = 6 + 0 -3 + 18y = 6 Add '3' to each side of the equation. -3 + 3 + 18y = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 18y = 6 + 3 18y = 6 + 3 Combine like terms: 6 + 3 = 9 18y = 9 Divide each side by '18'. y = 0.5 Simplifying y = 0.5
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