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Simplifying 9y + -1(4y + -12) = 33 + -1(12 + -2y) Reorder the terms: 9y + -1(-12 + 4y) = 33 + -1(12 + -2y) 9y + (-12 * -1 + 4y * -1) = 33 + -1(12 + -2y) 9y + (12 + -4y) = 33 + -1(12 + -2y) Reorder the terms: 12 + 9y + -4y = 33 + -1(12 + -2y) Combine like terms: 9y + -4y = 5y 12 + 5y = 33 + -1(12 + -2y) 12 + 5y = 33 + (12 * -1 + -2y * -1) 12 + 5y = 33 + (-12 + 2y) Combine like terms: 33 + -12 = 21 12 + 5y = 21 + 2y Solving 12 + 5y = 21 + 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. 12 + 5y + -2y = 21 + 2y + -2y Combine like terms: 5y + -2y = 3y 12 + 3y = 21 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + 3y = 21 + 0 12 + 3y = 21 Add '-12' to each side of the equation. 12 + -12 + 3y = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = 21 + -12 3y = 21 + -12 Combine like terms: 21 + -12 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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