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Simplifying -8 + 2y = -2(4y + 1) Reorder the terms: -8 + 2y = -2(1 + 4y) -8 + 2y = (1 * -2 + 4y * -2) -8 + 2y = (-2 + -8y) Solving -8 + 2y = -2 + -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. -8 + 2y + 8y = -2 + -8y + 8y Combine like terms: 2y + 8y = 10y -8 + 10y = -2 + -8y + 8y Combine like terms: -8y + 8y = 0 -8 + 10y = -2 + 0 -8 + 10y = -2 Add '8' to each side of the equation. -8 + 8 + 10y = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 10y = -2 + 8 10y = -2 + 8 Combine like terms: -2 + 8 = 6 10y = 6 Divide each side by '10'. y = 0.6 Simplifying y = 0.6
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