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Simplifying -8 + -6y = -0.5(4y + 2) Reorder the terms: -8 + -6y = -0.5(2 + 4y) -8 + -6y = (2 * -0.5 + 4y * -0.5) -8 + -6y = (-1 + -2y) Solving -8 + -6y = -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. -8 + -6y + 2y = -1 + -2y + 2y Combine like terms: -6y + 2y = -4y -8 + -4y = -1 + -2y + 2y Combine like terms: -2y + 2y = 0 -8 + -4y = -1 + 0 -8 + -4y = -1 Add '8' to each side of the equation. -8 + 8 + -4y = -1 + 8 Combine like terms: -8 + 8 = 0 0 + -4y = -1 + 8 -4y = -1 + 8 Combine like terms: -1 + 8 = 7 -4y = 7 Divide each side by '-4'. y = -1.75 Simplifying y = -1.75
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