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Simplifying 0.25(12y + 8) + -9 = -0.33(3y + -27) Reorder the terms: 0.25(8 + 12y) + -9 = -0.33(3y + -27) (8 * 0.25 + 12y * 0.25) + -9 = -0.33(3y + -27) (2 + 3y) + -9 = -0.33(3y + -27) Reorder the terms: 2 + -9 + 3y = -0.33(3y + -27) Combine like terms: 2 + -9 = -7 -7 + 3y = -0.33(3y + -27) Reorder the terms: -7 + 3y = -0.33(-27 + 3y) -7 + 3y = (-27 * -0.33 + 3y * -0.33) -7 + 3y = (8.91 + -0.99y) Solving -7 + 3y = 8.91 + -0.99y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.99y' to each side of the equation. -7 + 3y + 0.99y = 8.91 + -0.99y + 0.99y Combine like terms: 3y + 0.99y = 3.99y -7 + 3.99y = 8.91 + -0.99y + 0.99y Combine like terms: -0.99y + 0.99y = 0.00 -7 + 3.99y = 8.91 + 0.00 -7 + 3.99y = 8.91 Add '7' to each side of the equation. -7 + 7 + 3.99y = 8.91 + 7 Combine like terms: -7 + 7 = 0 0 + 3.99y = 8.91 + 7 3.99y = 8.91 + 7 Combine like terms: 8.91 + 7 = 15.91 3.99y = 15.91 Divide each side by '3.99'. y = 3.987468672 Simplifying y = 3.987468672
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