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Simplifying -2(y + 6) = y + 3 Reorder the terms: -2(6 + y) = y + 3 (6 * -2 + y * -2) = y + 3 (-12 + -2y) = y + 3 Reorder the terms: -12 + -2y = 3 + y Solving -12 + -2y = 3 + 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. -12 + -2y + -1y = 3 + y + -1y Combine like terms: -2y + -1y = -3y -12 + -3y = 3 + y + -1y Combine like terms: y + -1y = 0 -12 + -3y = 3 + 0 -12 + -3y = 3 Add '12' to each side of the equation. -12 + 12 + -3y = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -3y = 3 + 12 -3y = 3 + 12 Combine like terms: 3 + 12 = 15 -3y = 15 Divide each side by '-3'. y = -5 Simplifying y = -5
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