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Simplifying 4 + -8(y + 6) = 1 + -2y Reorder the terms: 4 + -8(6 + y) = 1 + -2y 4 + (6 * -8 + y * -8) = 1 + -2y 4 + (-48 + -8y) = 1 + -2y Combine like terms: 4 + -48 = -44 -44 + -8y = 1 + -2y Solving -44 + -8y = 1 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -44 + -8y + 2y = 1 + -2y + 2y Combine like terms: -8y + 2y = -6y -44 + -6y = 1 + -2y + 2y Combine like terms: -2y + 2y = 0 -44 + -6y = 1 + 0 -44 + -6y = 1 Add '44' to each side of the equation. -44 + 44 + -6y = 1 + 44 Combine like terms: -44 + 44 = 0 0 + -6y = 1 + 44 -6y = 1 + 44 Combine like terms: 1 + 44 = 45 -6y = 45 Divide each side by '-6'. y = -7.5 Simplifying y = -7.5
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