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Simplifying -4(y + 5) = 8 + -6(y + 7) Reorder the terms: -4(5 + y) = 8 + -6(y + 7) (5 * -4 + y * -4) = 8 + -6(y + 7) (-20 + -4y) = 8 + -6(y + 7) Reorder the terms: -20 + -4y = 8 + -6(7 + y) -20 + -4y = 8 + (7 * -6 + y * -6) -20 + -4y = 8 + (-42 + -6y) Combine like terms: 8 + -42 = -34 -20 + -4y = -34 + -6y Solving -20 + -4y = -34 + -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. -20 + -4y + 6y = -34 + -6y + 6y Combine like terms: -4y + 6y = 2y -20 + 2y = -34 + -6y + 6y Combine like terms: -6y + 6y = 0 -20 + 2y = -34 + 0 -20 + 2y = -34 Add '20' to each side of the equation. -20 + 20 + 2y = -34 + 20 Combine like terms: -20 + 20 = 0 0 + 2y = -34 + 20 2y = -34 + 20 Combine like terms: -34 + 20 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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