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Simplifying 2(y + -3) = 2 + -2y Reorder the terms: 2(-3 + y) = 2 + -2y (-3 * 2 + y * 2) = 2 + -2y (-6 + 2y) = 2 + -2y Solving -6 + 2y = 2 + -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. -6 + 2y + 2y = 2 + -2y + 2y Combine like terms: 2y + 2y = 4y -6 + 4y = 2 + -2y + 2y Combine like terms: -2y + 2y = 0 -6 + 4y = 2 + 0 -6 + 4y = 2 Add '6' to each side of the equation. -6 + 6 + 4y = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 4y = 2 + 6 4y = 2 + 6 Combine like terms: 2 + 6 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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