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Simplifying -5(3y + 1) + -16 = -9(y + 4) + 3y Reorder the terms: -5(1 + 3y) + -16 = -9(y + 4) + 3y (1 * -5 + 3y * -5) + -16 = -9(y + 4) + 3y (-5 + -15y) + -16 = -9(y + 4) + 3y Reorder the terms: -5 + -16 + -15y = -9(y + 4) + 3y Combine like terms: -5 + -16 = -21 -21 + -15y = -9(y + 4) + 3y Reorder the terms: -21 + -15y = -9(4 + y) + 3y -21 + -15y = (4 * -9 + y * -9) + 3y -21 + -15y = (-36 + -9y) + 3y Combine like terms: -9y + 3y = -6y -21 + -15y = -36 + -6y Solving -21 + -15y = -36 + -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. -21 + -15y + 6y = -36 + -6y + 6y Combine like terms: -15y + 6y = -9y -21 + -9y = -36 + -6y + 6y Combine like terms: -6y + 6y = 0 -21 + -9y = -36 + 0 -21 + -9y = -36 Add '21' to each side of the equation. -21 + 21 + -9y = -36 + 21 Combine like terms: -21 + 21 = 0 0 + -9y = -36 + 21 -9y = -36 + 21 Combine like terms: -36 + 21 = -15 -9y = -15 Divide each side by '-9'. y = 1.666666667 Simplifying y = 1.666666667
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