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Simplifying 4(y + 1) + -2(y + 8) = y + -1y Reorder the terms: 4(1 + y) + -2(y + 8) = y + -1y (1 * 4 + y * 4) + -2(y + 8) = y + -1y (4 + 4y) + -2(y + 8) = y + -1y Reorder the terms: 4 + 4y + -2(8 + y) = y + -1y 4 + 4y + (8 * -2 + y * -2) = y + -1y 4 + 4y + (-16 + -2y) = y + -1y Reorder the terms: 4 + -16 + 4y + -2y = y + -1y Combine like terms: 4 + -16 = -12 -12 + 4y + -2y = y + -1y Combine like terms: 4y + -2y = 2y -12 + 2y = y + -1y Combine like terms: y + -1y = 0 -12 + 2y = 0 Solving -12 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2y = 0 + 12 2y = 0 + 12 Combine like terms: 0 + 12 = 12 2y = 12 Divide each side by '2'. y = 6 Simplifying y = 6
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