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Simplifying -2(y + -4) = 5y + 1 + -4y Reorder the terms: -2(-4 + y) = 5y + 1 + -4y (-4 * -2 + y * -2) = 5y + 1 + -4y (8 + -2y) = 5y + 1 + -4y Reorder the terms: 8 + -2y = 1 + 5y + -4y Combine like terms: 5y + -4y = 1y 8 + -2y = 1 + 1y Solving 8 + -2y = 1 + 1y 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 + 1y + -1y Combine like terms: -2y + -1y = -3y 8 + -3y = 1 + 1y + -1y Combine like terms: 1y + -1y = 0 8 + -3y = 1 + 0 8 + -3y = 1 Add '-8' to each side of the equation. 8 + -8 + -3y = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -3y = 1 + -8 -3y = 1 + -8 Combine like terms: 1 + -8 = -7 -3y = -7 Divide each side by '-3'. y = 2.333333333 Simplifying y = 2.333333333
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