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Simplifying -4(y + -2) = 1 + -3y Reorder the terms: -4(-2 + y) = 1 + -3y (-2 * -4 + y * -4) = 1 + -3y (8 + -4y) = 1 + -3y Solving 8 + -4y = 1 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 8 + -4y + 3y = 1 + -3y + 3y Combine like terms: -4y + 3y = -1y 8 + -1y = 1 + -3y + 3y Combine like terms: -3y + 3y = 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 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7
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