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Simplifying -2(y + 6) = y + 3 + -1(-2y) Reorder the terms: -2(6 + y) = y + 3 + -1(-2y) (6 * -2 + y * -2) = y + 3 + -1(-2y) (-12 + -2y) = y + 3 + -1(-2y) Remove parenthesis around (-2y) -12 + -2y = y + 3 + -1 * -2y Multiply -1 * -2 -12 + -2y = y + 3 + 2y Reorder the terms: -12 + -2y = 3 + y + 2y Combine like terms: y + 2y = 3y -12 + -2y = 3 + 3y Solving -12 + -2y = 3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -12 + -2y + -3y = 3 + 3y + -3y Combine like terms: -2y + -3y = -5y -12 + -5y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + -5y = 3 + 0 -12 + -5y = 3 Add '12' to each side of the equation. -12 + 12 + -5y = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -5y = 3 + 12 -5y = 3 + 12 Combine like terms: 3 + 12 = 15 -5y = 15 Divide each side by '-5'. y = -3 Simplifying y = -3
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