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Simplifying 6 + 3(y + 7) = -2(4y + -6) + 8 Reorder the terms: 6 + 3(7 + y) = -2(4y + -6) + 8 6 + (7 * 3 + y * 3) = -2(4y + -6) + 8 6 + (21 + 3y) = -2(4y + -6) + 8 Combine like terms: 6 + 21 = 27 27 + 3y = -2(4y + -6) + 8 Reorder the terms: 27 + 3y = -2(-6 + 4y) + 8 27 + 3y = (-6 * -2 + 4y * -2) + 8 27 + 3y = (12 + -8y) + 8 Reorder the terms: 27 + 3y = 12 + 8 + -8y Combine like terms: 12 + 8 = 20 27 + 3y = 20 + -8y Solving 27 + 3y = 20 + -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. 27 + 3y + 8y = 20 + -8y + 8y Combine like terms: 3y + 8y = 11y 27 + 11y = 20 + -8y + 8y Combine like terms: -8y + 8y = 0 27 + 11y = 20 + 0 27 + 11y = 20 Add '-27' to each side of the equation. 27 + -27 + 11y = 20 + -27 Combine like terms: 27 + -27 = 0 0 + 11y = 20 + -27 11y = 20 + -27 Combine like terms: 20 + -27 = -7 11y = -7 Divide each side by '11'. y = -0.6363636364 Simplifying y = -0.6363636364
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