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Simplifying -5(3y + 3) + -13 = -6(y + 8) + 3y Reorder the terms: -5(3 + 3y) + -13 = -6(y + 8) + 3y (3 * -5 + 3y * -5) + -13 = -6(y + 8) + 3y (-15 + -15y) + -13 = -6(y + 8) + 3y Reorder the terms: -15 + -13 + -15y = -6(y + 8) + 3y Combine like terms: -15 + -13 = -28 -28 + -15y = -6(y + 8) + 3y Reorder the terms: -28 + -15y = -6(8 + y) + 3y -28 + -15y = (8 * -6 + y * -6) + 3y -28 + -15y = (-48 + -6y) + 3y Combine like terms: -6y + 3y = -3y -28 + -15y = -48 + -3y Solving -28 + -15y = -48 + -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. -28 + -15y + 3y = -48 + -3y + 3y Combine like terms: -15y + 3y = -12y -28 + -12y = -48 + -3y + 3y Combine like terms: -3y + 3y = 0 -28 + -12y = -48 + 0 -28 + -12y = -48 Add '28' to each side of the equation. -28 + 28 + -12y = -48 + 28 Combine like terms: -28 + 28 = 0 0 + -12y = -48 + 28 -12y = -48 + 28 Combine like terms: -48 + 28 = -20 -12y = -20 Divide each side by '-12'. y = 1.666666667 Simplifying y = 1.666666667
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