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Simplifying -2(y + 6) = 3 + 2y Reorder the terms: -2(6 + y) = 3 + 2y (6 * -2 + y * -2) = 3 + 2y (-12 + -2y) = 3 + 2y Solving -12 + -2y = 3 + 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. -12 + -2y + -2y = 3 + 2y + -2y Combine like terms: -2y + -2y = -4y -12 + -4y = 3 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + -4y = 3 + 0 -12 + -4y = 3 Add '12' to each side of the equation. -12 + 12 + -4y = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -4y = 3 + 12 -4y = 3 + 12 Combine like terms: 3 + 12 = 15 -4y = 15 Divide each side by '-4'. y = -3.75 Simplifying y = -3.75
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