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Simplifying -2(y + 3) = 2y + -46 Reorder the terms: -2(3 + y) = 2y + -46 (3 * -2 + y * -2) = 2y + -46 (-6 + -2y) = 2y + -46 Reorder the terms: -6 + -2y = -46 + 2y Solving -6 + -2y = -46 + 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 = -46 + 2y + -2y Combine like terms: -2y + -2y = -4y -6 + -4y = -46 + 2y + -2y Combine like terms: 2y + -2y = 0 -6 + -4y = -46 + 0 -6 + -4y = -46 Add '6' to each side of the equation. -6 + 6 + -4y = -46 + 6 Combine like terms: -6 + 6 = 0 0 + -4y = -46 + 6 -4y = -46 + 6 Combine like terms: -46 + 6 = -40 -4y = -40 Divide each side by '-4'. y = 10 Simplifying y = 10
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