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Simplifying 2(y + -6) = 5(y + 6) + -18 Reorder the terms: 2(-6 + y) = 5(y + 6) + -18 (-6 * 2 + y * 2) = 5(y + 6) + -18 (-12 + 2y) = 5(y + 6) + -18 Reorder the terms: -12 + 2y = 5(6 + y) + -18 -12 + 2y = (6 * 5 + y * 5) + -18 -12 + 2y = (30 + 5y) + -18 Reorder the terms: -12 + 2y = 30 + -18 + 5y Combine like terms: 30 + -18 = 12 -12 + 2y = 12 + 5y Solving -12 + 2y = 12 + 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 = 12 + 5y + -5y Combine like terms: 2y + -5y = -3y -12 + -3y = 12 + 5y + -5y Combine like terms: 5y + -5y = 0 -12 + -3y = 12 + 0 -12 + -3y = 12 Add '12' to each side of the equation. -12 + 12 + -3y = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -3y = 12 + 12 -3y = 12 + 12 Combine like terms: 12 + 12 = 24 -3y = 24 Divide each side by '-3'. y = -8 Simplifying y = -8
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