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Simplifying 8y + 4(5 + y) = 3(y + -4) + 10y 8y + (5 * 4 + y * 4) = 3(y + -4) + 10y 8y + (20 + 4y) = 3(y + -4) + 10y Reorder the terms: 20 + 8y + 4y = 3(y + -4) + 10y Combine like terms: 8y + 4y = 12y 20 + 12y = 3(y + -4) + 10y Reorder the terms: 20 + 12y = 3(-4 + y) + 10y 20 + 12y = (-4 * 3 + y * 3) + 10y 20 + 12y = (-12 + 3y) + 10y Combine like terms: 3y + 10y = 13y 20 + 12y = -12 + 13y Solving 20 + 12y = -12 + 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. 20 + 12y + -13y = -12 + 13y + -13y Combine like terms: 12y + -13y = -1y 20 + -1y = -12 + 13y + -13y Combine like terms: 13y + -13y = 0 20 + -1y = -12 + 0 20 + -1y = -12 Add '-20' to each side of the equation. 20 + -20 + -1y = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -1y = -12 + -20 -1y = -12 + -20 Combine like terms: -12 + -20 = -32 -1y = -32 Divide each side by '-1'. y = 32 Simplifying y = 32
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