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Simplifying 5(3y + -2) = 3y + 14 Reorder the terms: 5(-2 + 3y) = 3y + 14 (-2 * 5 + 3y * 5) = 3y + 14 (-10 + 15y) = 3y + 14 Reorder the terms: -10 + 15y = 14 + 3y Solving -10 + 15y = 14 + 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. -10 + 15y + -3y = 14 + 3y + -3y Combine like terms: 15y + -3y = 12y -10 + 12y = 14 + 3y + -3y Combine like terms: 3y + -3y = 0 -10 + 12y = 14 + 0 -10 + 12y = 14 Add '10' to each side of the equation. -10 + 10 + 12y = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 12y = 14 + 10 12y = 14 + 10 Combine like terms: 14 + 10 = 24 12y = 24 Divide each side by '12'. y = 2 Simplifying y = 2
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