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Simplifying 12y + -1(12 + 6y) = 3(y + 5) 12y + (12 * -1 + 6y * -1) = 3(y + 5) 12y + (-12 + -6y) = 3(y + 5) Reorder the terms: -12 + 12y + -6y = 3(y + 5) Combine like terms: 12y + -6y = 6y -12 + 6y = 3(y + 5) Reorder the terms: -12 + 6y = 3(5 + y) -12 + 6y = (5 * 3 + y * 3) -12 + 6y = (15 + 3y) Solving -12 + 6y = 15 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -12 + 6y + -3y = 15 + 3y + -3y Combine like terms: 6y + -3y = 3y -12 + 3y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + 3y = 15 + 0 -12 + 3y = 15 Add '12' to each side of the equation. -12 + 12 + 3y = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 3y = 15 + 12 3y = 15 + 12 Combine like terms: 15 + 12 = 27 3y = 27 Divide each side by '3'. y = 9 Simplifying y = 9
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