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Simplifying -2(y + 6) = 6y + 36 Reorder the terms: -2(6 + y) = 6y + 36 (6 * -2 + y * -2) = 6y + 36 (-12 + -2y) = 6y + 36 Reorder the terms: -12 + -2y = 36 + 6y Solving -12 + -2y = 36 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -12 + -2y + -6y = 36 + 6y + -6y Combine like terms: -2y + -6y = -8y -12 + -8y = 36 + 6y + -6y Combine like terms: 6y + -6y = 0 -12 + -8y = 36 + 0 -12 + -8y = 36 Add '12' to each side of the equation. -12 + 12 + -8y = 36 + 12 Combine like terms: -12 + 12 = 0 0 + -8y = 36 + 12 -8y = 36 + 12 Combine like terms: 36 + 12 = 48 -8y = 48 Divide each side by '-8'. y = -6 Simplifying y = -6
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