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Simplifying -2(y + -3) = -6(y + 2) + 2y Reorder the terms: -2(-3 + y) = -6(y + 2) + 2y (-3 * -2 + y * -2) = -6(y + 2) + 2y (6 + -2y) = -6(y + 2) + 2y Reorder the terms: 6 + -2y = -6(2 + y) + 2y 6 + -2y = (2 * -6 + y * -6) + 2y 6 + -2y = (-12 + -6y) + 2y Combine like terms: -6y + 2y = -4y 6 + -2y = -12 + -4y Solving 6 + -2y = -12 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 6 + -2y + 4y = -12 + -4y + 4y Combine like terms: -2y + 4y = 2y 6 + 2y = -12 + -4y + 4y Combine like terms: -4y + 4y = 0 6 + 2y = -12 + 0 6 + 2y = -12 Add '-6' to each side of the equation. 6 + -6 + 2y = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 2y = -12 + -6 2y = -12 + -6 Combine like terms: -12 + -6 = -18 2y = -18 Divide each side by '2'. y = -9 Simplifying y = -9
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