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Simplifying 2(y + 1) = 6y + -6 Reorder the terms: 2(1 + y) = 6y + -6 (1 * 2 + y * 2) = 6y + -6 (2 + 2y) = 6y + -6 Reorder the terms: 2 + 2y = -6 + 6y Solving 2 + 2y = -6 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 2 + 2y + -6y = -6 + 6y + -6y Combine like terms: 2y + -6y = -4y 2 + -4y = -6 + 6y + -6y Combine like terms: 6y + -6y = 0 2 + -4y = -6 + 0 2 + -4y = -6 Add '-2' to each side of the equation. 2 + -2 + -4y = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -4y = -6 + -2 -4y = -6 + -2 Combine like terms: -6 + -2 = -8 -4y = -8 Divide each side by '-4'. y = 2 Simplifying y = 2
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