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Simplifying 8y + 4(6 + y) = 3(y + -2) + 10y 8y + (6 * 4 + y * 4) = 3(y + -2) + 10y 8y + (24 + 4y) = 3(y + -2) + 10y Reorder the terms: 24 + 8y + 4y = 3(y + -2) + 10y Combine like terms: 8y + 4y = 12y 24 + 12y = 3(y + -2) + 10y Reorder the terms: 24 + 12y = 3(-2 + y) + 10y 24 + 12y = (-2 * 3 + y * 3) + 10y 24 + 12y = (-6 + 3y) + 10y Combine like terms: 3y + 10y = 13y 24 + 12y = -6 + 13y Solving 24 + 12y = -6 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 24 + 12y + -13y = -6 + 13y + -13y Combine like terms: 12y + -13y = -1y 24 + -1y = -6 + 13y + -13y Combine like terms: 13y + -13y = 0 24 + -1y = -6 + 0 24 + -1y = -6 Add '-24' to each side of the equation. 24 + -24 + -1y = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -1y = -6 + -24 -1y = -6 + -24 Combine like terms: -6 + -24 = -30 -1y = -30 Divide each side by '-1'. y = 30 Simplifying y = 30
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