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Simplifying 4y + -2(y + 4) = y + 1 Reorder the terms: 4y + -2(4 + y) = y + 1 4y + (4 * -2 + y * -2) = y + 1 4y + (-8 + -2y) = y + 1 Reorder the terms: -8 + 4y + -2y = y + 1 Combine like terms: 4y + -2y = 2y -8 + 2y = y + 1 Reorder the terms: -8 + 2y = 1 + y Solving -8 + 2y = 1 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -8 + 2y + -1y = 1 + y + -1y Combine like terms: 2y + -1y = 1y -8 + 1y = 1 + y + -1y Combine like terms: y + -1y = 0 -8 + 1y = 1 + 0 -8 + 1y = 1 Add '8' to each side of the equation. -8 + 8 + 1y = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 1y = 1 + 8 1y = 1 + 8 Combine like terms: 1 + 8 = 9 1y = 9 Divide each side by '1'. y = 9 Simplifying y = 9
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