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Simplifying 6 + -1(y + 4) = 2y + -1 Reorder the terms: 6 + -1(4 + y) = 2y + -1 6 + (4 * -1 + y * -1) = 2y + -1 6 + (-4 + -1y) = 2y + -1 Combine like terms: 6 + -4 = 2 2 + -1y = 2y + -1 Reorder the terms: 2 + -1y = -1 + 2y Solving 2 + -1y = -1 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 2 + -1y + -2y = -1 + 2y + -2y Combine like terms: -1y + -2y = -3y 2 + -3y = -1 + 2y + -2y Combine like terms: 2y + -2y = 0 2 + -3y = -1 + 0 2 + -3y = -1 Add '-2' to each side of the equation. 2 + -2 + -3y = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -3y = -1 + -2 -3y = -1 + -2 Combine like terms: -1 + -2 = -3 -3y = -3 Divide each side by '-3'. y = 1 Simplifying y = 1
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