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Simplifying 5(y + -6) = 2y + -12 Reorder the terms: 5(-6 + y) = 2y + -12 (-6 * 5 + y * 5) = 2y + -12 (-30 + 5y) = 2y + -12 Reorder the terms: -30 + 5y = -12 + 2y Solving -30 + 5y = -12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -30 + 5y + -2y = -12 + 2y + -2y Combine like terms: 5y + -2y = 3y -30 + 3y = -12 + 2y + -2y Combine like terms: 2y + -2y = 0 -30 + 3y = -12 + 0 -30 + 3y = -12 Add '30' to each side of the equation. -30 + 30 + 3y = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 3y = -12 + 30 3y = -12 + 30 Combine like terms: -12 + 30 = 18 3y = 18 Divide each side by '3'. y = 6 Simplifying y = 6
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