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Simplifying 8y + 4(2 + y) = 3(y + -6 + 10y) 8y + (2 * 4 + y * 4) = 3(y + -6 + 10y) 8y + (8 + 4y) = 3(y + -6 + 10y) Reorder the terms: 8 + 8y + 4y = 3(y + -6 + 10y) Combine like terms: 8y + 4y = 12y 8 + 12y = 3(y + -6 + 10y) Reorder the terms: 8 + 12y = 3(-6 + y + 10y) Combine like terms: y + 10y = 11y 8 + 12y = 3(-6 + 11y) 8 + 12y = (-6 * 3 + 11y * 3) 8 + 12y = (-18 + 33y) Solving 8 + 12y = -18 + 33y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-33y' to each side of the equation. 8 + 12y + -33y = -18 + 33y + -33y Combine like terms: 12y + -33y = -21y 8 + -21y = -18 + 33y + -33y Combine like terms: 33y + -33y = 0 8 + -21y = -18 + 0 8 + -21y = -18 Add '-8' to each side of the equation. 8 + -8 + -21y = -18 + -8 Combine like terms: 8 + -8 = 0 0 + -21y = -18 + -8 -21y = -18 + -8 Combine like terms: -18 + -8 = -26 -21y = -26 Divide each side by '-21'. y = 1.238095238 Simplifying y = 1.238095238
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