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