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Simplifying -3y + 4(1y + 2) = -1 + 4(-4 + -1y) Reorder the terms: -3y + 4(2 + 1y) = -1 + 4(-4 + -1y) -3y + (2 * 4 + 1y * 4) = -1 + 4(-4 + -1y) -3y + (8 + 4y) = -1 + 4(-4 + -1y) Reorder the terms: 8 + -3y + 4y = -1 + 4(-4 + -1y) Combine like terms: -3y + 4y = 1y 8 + 1y = -1 + 4(-4 + -1y) 8 + 1y = -1 + (-4 * 4 + -1y * 4) 8 + 1y = -1 + (-16 + -4y) Combine like terms: -1 + -16 = -17 8 + 1y = -17 + -4y Solving 8 + 1y = -17 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 8 + 1y + 4y = -17 + -4y + 4y Combine like terms: 1y + 4y = 5y 8 + 5y = -17 + -4y + 4y Combine like terms: -4y + 4y = 0 8 + 5y = -17 + 0 8 + 5y = -17 Add '-8' to each side of the equation. 8 + -8 + 5y = -17 + -8 Combine like terms: 8 + -8 = 0 0 + 5y = -17 + -8 5y = -17 + -8 Combine like terms: -17 + -8 = -25 5y = -25 Divide each side by '5'. y = -5 Simplifying y = -5
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