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Simplifying -4(3y + 4) + -15 = -9(y + 5 + 3y) Reorder the terms: -4(4 + 3y) + -15 = -9(y + 5 + 3y) (4 * -4 + 3y * -4) + -15 = -9(y + 5 + 3y) (-16 + -12y) + -15 = -9(y + 5 + 3y) Reorder the terms: -16 + -15 + -12y = -9(y + 5 + 3y) Combine like terms: -16 + -15 = -31 -31 + -12y = -9(y + 5 + 3y) Reorder the terms: -31 + -12y = -9(5 + y + 3y) Combine like terms: y + 3y = 4y -31 + -12y = -9(5 + 4y) -31 + -12y = (5 * -9 + 4y * -9) -31 + -12y = (-45 + -36y) Solving -31 + -12y = -45 + -36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36y' to each side of the equation. -31 + -12y + 36y = -45 + -36y + 36y Combine like terms: -12y + 36y = 24y -31 + 24y = -45 + -36y + 36y Combine like terms: -36y + 36y = 0 -31 + 24y = -45 + 0 -31 + 24y = -45 Add '31' to each side of the equation. -31 + 31 + 24y = -45 + 31 Combine like terms: -31 + 31 = 0 0 + 24y = -45 + 31 24y = -45 + 31 Combine like terms: -45 + 31 = -14 24y = -14 Divide each side by '24'. y = -0.5833333333 Simplifying y = -0.5833333333
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