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Simplifying 3y + -1 = 5(-1y + 3) Reorder the terms: -1 + 3y = 5(-1y + 3) Reorder the terms: -1 + 3y = 5(3 + -1y) -1 + 3y = (3 * 5 + -1y * 5) -1 + 3y = (15 + -5y) Solving -1 + 3y = 15 + -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. -1 + 3y + 5y = 15 + -5y + 5y Combine like terms: 3y + 5y = 8y -1 + 8y = 15 + -5y + 5y Combine like terms: -5y + 5y = 0 -1 + 8y = 15 + 0 -1 + 8y = 15 Add '1' to each side of the equation. -1 + 1 + 8y = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 8y = 15 + 1 8y = 15 + 1 Combine like terms: 15 + 1 = 16 8y = 16 Divide each side by '8'. y = 2 Simplifying y = 2
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