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Simplifying 8y + 4(9 + y) = 3(y + -3) + 10y 8y + (9 * 4 + y * 4) = 3(y + -3) + 10y 8y + (36 + 4y) = 3(y + -3) + 10y Reorder the terms: 36 + 8y + 4y = 3(y + -3) + 10y Combine like terms: 8y + 4y = 12y 36 + 12y = 3(y + -3) + 10y Reorder the terms: 36 + 12y = 3(-3 + y) + 10y 36 + 12y = (-3 * 3 + y * 3) + 10y 36 + 12y = (-9 + 3y) + 10y Combine like terms: 3y + 10y = 13y 36 + 12y = -9 + 13y Solving 36 + 12y = -9 + 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. 36 + 12y + -13y = -9 + 13y + -13y Combine like terms: 12y + -13y = -1y 36 + -1y = -9 + 13y + -13y Combine like terms: 13y + -13y = 0 36 + -1y = -9 + 0 36 + -1y = -9 Add '-36' to each side of the equation. 36 + -36 + -1y = -9 + -36 Combine like terms: 36 + -36 = 0 0 + -1y = -9 + -36 -1y = -9 + -36 Combine like terms: -9 + -36 = -45 -1y = -45 Divide each side by '-1'. y = 45 Simplifying y = 45
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