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Simplifying 2(y + -6) = 5y + 9 Reorder the terms: 2(-6 + y) = 5y + 9 (-6 * 2 + y * 2) = 5y + 9 (-12 + 2y) = 5y + 9 Reorder the terms: -12 + 2y = 9 + 5y Solving -12 + 2y = 9 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -12 + 2y + -5y = 9 + 5y + -5y Combine like terms: 2y + -5y = -3y -12 + -3y = 9 + 5y + -5y Combine like terms: 5y + -5y = 0 -12 + -3y = 9 + 0 -12 + -3y = 9 Add '12' to each side of the equation. -12 + 12 + -3y = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -3y = 9 + 12 -3y = 9 + 12 Combine like terms: 9 + 12 = 21 -3y = 21 Divide each side by '-3'. y = -7 Simplifying y = -7
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