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Simplifying 4(3y + -1) + 13 = 0.25(24y + -36) Reorder the terms: 4(-1 + 3y) + 13 = 0.25(24y + -36) (-1 * 4 + 3y * 4) + 13 = 0.25(24y + -36) (-4 + 12y) + 13 = 0.25(24y + -36) Reorder the terms: -4 + 13 + 12y = 0.25(24y + -36) Combine like terms: -4 + 13 = 9 9 + 12y = 0.25(24y + -36) Reorder the terms: 9 + 12y = 0.25(-36 + 24y) 9 + 12y = (-36 * 0.25 + 24y * 0.25) 9 + 12y = (-9 + 6y) Solving 9 + 12y = -9 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 9 + 12y + -6y = -9 + 6y + -6y Combine like terms: 12y + -6y = 6y 9 + 6y = -9 + 6y + -6y Combine like terms: 6y + -6y = 0 9 + 6y = -9 + 0 9 + 6y = -9 Add '-9' to each side of the equation. 9 + -9 + 6y = -9 + -9 Combine like terms: 9 + -9 = 0 0 + 6y = -9 + -9 6y = -9 + -9 Combine like terms: -9 + -9 = -18 6y = -18 Divide each side by '6'. y = -3 Simplifying y = -3
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