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Simplifying 8 + 2(6y + -1) = -2(5y + -6) + 6y Reorder the terms: 8 + 2(-1 + 6y) = -2(5y + -6) + 6y 8 + (-1 * 2 + 6y * 2) = -2(5y + -6) + 6y 8 + (-2 + 12y) = -2(5y + -6) + 6y Combine like terms: 8 + -2 = 6 6 + 12y = -2(5y + -6) + 6y Reorder the terms: 6 + 12y = -2(-6 + 5y) + 6y 6 + 12y = (-6 * -2 + 5y * -2) + 6y 6 + 12y = (12 + -10y) + 6y Combine like terms: -10y + 6y = -4y 6 + 12y = 12 + -4y Solving 6 + 12y = 12 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 6 + 12y + 4y = 12 + -4y + 4y Combine like terms: 12y + 4y = 16y 6 + 16y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 6 + 16y = 12 + 0 6 + 16y = 12 Add '-6' to each side of the equation. 6 + -6 + 16y = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 16y = 12 + -6 16y = 12 + -6 Combine like terms: 12 + -6 = 6 16y = 6 Divide each side by '16'. y = 0.375 Simplifying y = 0.375
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