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Simplifying 3(3y + -1) + 5 = 4y + -13 Reorder the terms: 3(-1 + 3y) + 5 = 4y + -13 (-1 * 3 + 3y * 3) + 5 = 4y + -13 (-3 + 9y) + 5 = 4y + -13 Reorder the terms: -3 + 5 + 9y = 4y + -13 Combine like terms: -3 + 5 = 2 2 + 9y = 4y + -13 Reorder the terms: 2 + 9y = -13 + 4y Solving 2 + 9y = -13 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 2 + 9y + -4y = -13 + 4y + -4y Combine like terms: 9y + -4y = 5y 2 + 5y = -13 + 4y + -4y Combine like terms: 4y + -4y = 0 2 + 5y = -13 + 0 2 + 5y = -13 Add '-2' to each side of the equation. 2 + -2 + 5y = -13 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = -13 + -2 5y = -13 + -2 Combine like terms: -13 + -2 = -15 5y = -15 Divide each side by '5'. y = -3 Simplifying y = -3
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