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