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Simplifying 2(9y) + 3(9y + 11) = 6(2y + -11) Remove parenthesis around (9y) 2 * 9y + 3(9y + 11) = 6(2y + -11) Multiply 2 * 9 18y + 3(9y + 11) = 6(2y + -11) Reorder the terms: 18y + 3(11 + 9y) = 6(2y + -11) 18y + (11 * 3 + 9y * 3) = 6(2y + -11) 18y + (33 + 27y) = 6(2y + -11) Reorder the terms: 33 + 18y + 27y = 6(2y + -11) Combine like terms: 18y + 27y = 45y 33 + 45y = 6(2y + -11) Reorder the terms: 33 + 45y = 6(-11 + 2y) 33 + 45y = (-11 * 6 + 2y * 6) 33 + 45y = (-66 + 12y) Solving 33 + 45y = -66 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 33 + 45y + -12y = -66 + 12y + -12y Combine like terms: 45y + -12y = 33y 33 + 33y = -66 + 12y + -12y Combine like terms: 12y + -12y = 0 33 + 33y = -66 + 0 33 + 33y = -66 Add '-33' to each side of the equation. 33 + -33 + 33y = -66 + -33 Combine like terms: 33 + -33 = 0 0 + 33y = -66 + -33 33y = -66 + -33 Combine like terms: -66 + -33 = -99 33y = -99 Divide each side by '33'. y = -3 Simplifying y = -3
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