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