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Simplifying -44 + 13y + 2 = 5(3y + -5) + -9 Reorder the terms: -44 + 2 + 13y = 5(3y + -5) + -9 Combine like terms: -44 + 2 = -42 -42 + 13y = 5(3y + -5) + -9 Reorder the terms: -42 + 13y = 5(-5 + 3y) + -9 -42 + 13y = (-5 * 5 + 3y * 5) + -9 -42 + 13y = (-25 + 15y) + -9 Reorder the terms: -42 + 13y = -25 + -9 + 15y Combine like terms: -25 + -9 = -34 -42 + 13y = -34 + 15y Solving -42 + 13y = -34 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -42 + 13y + -15y = -34 + 15y + -15y Combine like terms: 13y + -15y = -2y -42 + -2y = -34 + 15y + -15y Combine like terms: 15y + -15y = 0 -42 + -2y = -34 + 0 -42 + -2y = -34 Add '42' to each side of the equation. -42 + 42 + -2y = -34 + 42 Combine like terms: -42 + 42 = 0 0 + -2y = -34 + 42 -2y = -34 + 42 Combine like terms: -34 + 42 = 8 -2y = 8 Divide each side by '-2'. y = -4 Simplifying y = -4
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