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Simplifying -47 = 4 + -1(6y + -9) Reorder the terms: -47 = 4 + -1(-9 + 6y) -47 = 4 + (-9 * -1 + 6y * -1) -47 = 4 + (9 + -6y) Combine like terms: 4 + 9 = 13 -47 = 13 + -6y Solving -47 = 13 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -47 + 6y = 13 + -6y + 6y Combine like terms: -6y + 6y = 0 -47 + 6y = 13 + 0 -47 + 6y = 13 Add '47' to each side of the equation. -47 + 47 + 6y = 13 + 47 Combine like terms: -47 + 47 = 0 0 + 6y = 13 + 47 6y = 13 + 47 Combine like terms: 13 + 47 = 60 6y = 60 Divide each side by '6'. y = 10 Simplifying y = 10
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