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Simplifying 2y + -1(y + 1) = 4y + 6 Reorder the terms: 2y + -1(1 + y) = 4y + 6 2y + (1 * -1 + y * -1) = 4y + 6 2y + (-1 + -1y) = 4y + 6 Reorder the terms: -1 + 2y + -1y = 4y + 6 Combine like terms: 2y + -1y = 1y -1 + 1y = 4y + 6 Reorder the terms: -1 + 1y = 6 + 4y Solving -1 + 1y = 6 + 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. -1 + 1y + -4y = 6 + 4y + -4y Combine like terms: 1y + -4y = -3y -1 + -3y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 -1 + -3y = 6 + 0 -1 + -3y = 6 Add '1' to each side of the equation. -1 + 1 + -3y = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -3y = 6 + 1 -3y = 6 + 1 Combine like terms: 6 + 1 = 7 -3y = 7 Divide each side by '-3'. y = -2.333333333 Simplifying y = -2.333333333
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