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Simplifying 8y + 4(7 + y) = 3(y + -4) + 10y 8y + (7 * 4 + y * 4) = 3(y + -4) + 10y 8y + (28 + 4y) = 3(y + -4) + 10y Reorder the terms: 28 + 8y + 4y = 3(y + -4) + 10y Combine like terms: 8y + 4y = 12y 28 + 12y = 3(y + -4) + 10y Reorder the terms: 28 + 12y = 3(-4 + y) + 10y 28 + 12y = (-4 * 3 + y * 3) + 10y 28 + 12y = (-12 + 3y) + 10y Combine like terms: 3y + 10y = 13y 28 + 12y = -12 + 13y Solving 28 + 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. 28 + 12y + -13y = -12 + 13y + -13y Combine like terms: 12y + -13y = -1y 28 + -1y = -12 + 13y + -13y Combine like terms: 13y + -13y = 0 28 + -1y = -12 + 0 28 + -1y = -12 Add '-28' to each side of the equation. 28 + -28 + -1y = -12 + -28 Combine like terms: 28 + -28 = 0 0 + -1y = -12 + -28 -1y = -12 + -28 Combine like terms: -12 + -28 = -40 -1y = -40 Divide each side by '-1'. y = 40 Simplifying y = 40
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