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Simplifying -4(y + 5) + 3 = 11 + -6(y + 7) Reorder the terms: -4(5 + y) + 3 = 11 + -6(y + 7) (5 * -4 + y * -4) + 3 = 11 + -6(y + 7) (-20 + -4y) + 3 = 11 + -6(y + 7) Reorder the terms: -20 + 3 + -4y = 11 + -6(y + 7) Combine like terms: -20 + 3 = -17 -17 + -4y = 11 + -6(y + 7) Reorder the terms: -17 + -4y = 11 + -6(7 + y) -17 + -4y = 11 + (7 * -6 + y * -6) -17 + -4y = 11 + (-42 + -6y) Combine like terms: 11 + -42 = -31 -17 + -4y = -31 + -6y Solving -17 + -4y = -31 + -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. -17 + -4y + 6y = -31 + -6y + 6y Combine like terms: -4y + 6y = 2y -17 + 2y = -31 + -6y + 6y Combine like terms: -6y + 6y = 0 -17 + 2y = -31 + 0 -17 + 2y = -31 Add '17' to each side of the equation. -17 + 17 + 2y = -31 + 17 Combine like terms: -17 + 17 = 0 0 + 2y = -31 + 17 2y = -31 + 17 Combine like terms: -31 + 17 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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