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Simplifying 5y + -1(2y + 15) + 3y = 5y + -3 Reorder the terms: 5y + -1(15 + 2y) + 3y = 5y + -3 5y + (15 * -1 + 2y * -1) + 3y = 5y + -3 5y + (-15 + -2y) + 3y = 5y + -3 Reorder the terms: -15 + 5y + -2y + 3y = 5y + -3 Combine like terms: 5y + -2y = 3y -15 + 3y + 3y = 5y + -3 Combine like terms: 3y + 3y = 6y -15 + 6y = 5y + -3 Reorder the terms: -15 + 6y = -3 + 5y Solving -15 + 6y = -3 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -15 + 6y + -5y = -3 + 5y + -5y Combine like terms: 6y + -5y = 1y -15 + 1y = -3 + 5y + -5y Combine like terms: 5y + -5y = 0 -15 + 1y = -3 + 0 -15 + 1y = -3 Add '15' to each side of the equation. -15 + 15 + 1y = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 1y = -3 + 15 1y = -3 + 15 Combine like terms: -3 + 15 = 12 1y = 12 Divide each side by '1'. y = 12 Simplifying y = 12
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