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Simplifying 3(2y + -1) = -8(6 + y) Reorder the terms: 3(-1 + 2y) = -8(6 + y) (-1 * 3 + 2y * 3) = -8(6 + y) (-3 + 6y) = -8(6 + y) -3 + 6y = (6 * -8 + y * -8) -3 + 6y = (-48 + -8y) Solving -3 + 6y = -48 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -3 + 6y + 8y = -48 + -8y + 8y Combine like terms: 6y + 8y = 14y -3 + 14y = -48 + -8y + 8y Combine like terms: -8y + 8y = 0 -3 + 14y = -48 + 0 -3 + 14y = -48 Add '3' to each side of the equation. -3 + 3 + 14y = -48 + 3 Combine like terms: -3 + 3 = 0 0 + 14y = -48 + 3 14y = -48 + 3 Combine like terms: -48 + 3 = -45 14y = -45 Divide each side by '14'. y = -3.214285714 Simplifying y = -3.214285714
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