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Simplifying -5(3y + 1) + -9 = -6(y + 5) + 3y Reorder the terms: -5(1 + 3y) + -9 = -6(y + 5) + 3y (1 * -5 + 3y * -5) + -9 = -6(y + 5) + 3y (-5 + -15y) + -9 = -6(y + 5) + 3y Reorder the terms: -5 + -9 + -15y = -6(y + 5) + 3y Combine like terms: -5 + -9 = -14 -14 + -15y = -6(y + 5) + 3y Reorder the terms: -14 + -15y = -6(5 + y) + 3y -14 + -15y = (5 * -6 + y * -6) + 3y -14 + -15y = (-30 + -6y) + 3y Combine like terms: -6y + 3y = -3y -14 + -15y = -30 + -3y Solving -14 + -15y = -30 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -14 + -15y + 3y = -30 + -3y + 3y Combine like terms: -15y + 3y = -12y -14 + -12y = -30 + -3y + 3y Combine like terms: -3y + 3y = 0 -14 + -12y = -30 + 0 -14 + -12y = -30 Add '14' to each side of the equation. -14 + 14 + -12y = -30 + 14 Combine like terms: -14 + 14 = 0 0 + -12y = -30 + 14 -12y = -30 + 14 Combine like terms: -30 + 14 = -16 -12y = -16 Divide each side by '-12'. y = 1.333333333 Simplifying y = 1.333333333
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