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Simplifying 9y + -11 + -6y = 7(3y + 1) Reorder the terms: -11 + 9y + -6y = 7(3y + 1) Combine like terms: 9y + -6y = 3y -11 + 3y = 7(3y + 1) Reorder the terms: -11 + 3y = 7(1 + 3y) -11 + 3y = (1 * 7 + 3y * 7) -11 + 3y = (7 + 21y) Solving -11 + 3y = 7 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. -11 + 3y + -21y = 7 + 21y + -21y Combine like terms: 3y + -21y = -18y -11 + -18y = 7 + 21y + -21y Combine like terms: 21y + -21y = 0 -11 + -18y = 7 + 0 -11 + -18y = 7 Add '11' to each side of the equation. -11 + 11 + -18y = 7 + 11 Combine like terms: -11 + 11 = 0 0 + -18y = 7 + 11 -18y = 7 + 11 Combine like terms: 7 + 11 = 18 -18y = 18 Divide each side by '-18'. y = -1 Simplifying y = -1
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