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Simplifying -8 + -6(-3y + -8) = -2(-4y + 1) + 8 Reorder the terms: -8 + -6(-8 + -3y) = -2(-4y + 1) + 8 -8 + (-8 * -6 + -3y * -6) = -2(-4y + 1) + 8 -8 + (48 + 18y) = -2(-4y + 1) + 8 Combine like terms: -8 + 48 = 40 40 + 18y = -2(-4y + 1) + 8 Reorder the terms: 40 + 18y = -2(1 + -4y) + 8 40 + 18y = (1 * -2 + -4y * -2) + 8 40 + 18y = (-2 + 8y) + 8 Reorder the terms: 40 + 18y = -2 + 8 + 8y Combine like terms: -2 + 8 = 6 40 + 18y = 6 + 8y Solving 40 + 18y = 6 + 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. 40 + 18y + -8y = 6 + 8y + -8y Combine like terms: 18y + -8y = 10y 40 + 10y = 6 + 8y + -8y Combine like terms: 8y + -8y = 0 40 + 10y = 6 + 0 40 + 10y = 6 Add '-40' to each side of the equation. 40 + -40 + 10y = 6 + -40 Combine like terms: 40 + -40 = 0 0 + 10y = 6 + -40 10y = 6 + -40 Combine like terms: 6 + -40 = -34 10y = -34 Divide each side by '10'. y = -3.4 Simplifying y = -3.4
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