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