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Simplifying -5(3y + 2) + -16 = -6(y + 7) + 3y Reorder the terms: -5(2 + 3y) + -16 = -6(y + 7) + 3y (2 * -5 + 3y * -5) + -16 = -6(y + 7) + 3y (-10 + -15y) + -16 = -6(y + 7) + 3y Reorder the terms: -10 + -16 + -15y = -6(y + 7) + 3y Combine like terms: -10 + -16 = -26 -26 + -15y = -6(y + 7) + 3y Reorder the terms: -26 + -15y = -6(7 + y) + 3y -26 + -15y = (7 * -6 + y * -6) + 3y -26 + -15y = (-42 + -6y) + 3y Combine like terms: -6y + 3y = -3y -26 + -15y = -42 + -3y Solving -26 + -15y = -42 + -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. -26 + -15y + 3y = -42 + -3y + 3y Combine like terms: -15y + 3y = -12y -26 + -12y = -42 + -3y + 3y Combine like terms: -3y + 3y = 0 -26 + -12y = -42 + 0 -26 + -12y = -42 Add '26' to each side of the equation. -26 + 26 + -12y = -42 + 26 Combine like terms: -26 + 26 = 0 0 + -12y = -42 + 26 -12y = -42 + 26 Combine like terms: -42 + 26 = -16 -12y = -16 Divide each side by '-12'. y = 1.333333333 Simplifying y = 1.333333333
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