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Simplifying 8y + 4(2 + y) = 3(y + -5) + 10y 8y + (2 * 4 + y * 4) = 3(y + -5) + 10y 8y + (8 + 4y) = 3(y + -5) + 10y Reorder the terms: 8 + 8y + 4y = 3(y + -5) + 10y Combine like terms: 8y + 4y = 12y 8 + 12y = 3(y + -5) + 10y Reorder the terms: 8 + 12y = 3(-5 + y) + 10y 8 + 12y = (-5 * 3 + y * 3) + 10y 8 + 12y = (-15 + 3y) + 10y Combine like terms: 3y + 10y = 13y 8 + 12y = -15 + 13y Solving 8 + 12y = -15 + 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. 8 + 12y + -13y = -15 + 13y + -13y Combine like terms: 12y + -13y = -1y 8 + -1y = -15 + 13y + -13y Combine like terms: 13y + -13y = 0 8 + -1y = -15 + 0 8 + -1y = -15 Add '-8' to each side of the equation. 8 + -8 + -1y = -15 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = -15 + -8 -1y = -15 + -8 Combine like terms: -15 + -8 = -23 -1y = -23 Divide each side by '-1'. y = 23 Simplifying y = 23
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