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Simplifying -47 + 12 = -3(2y + 2) Combine like terms: -47 + 12 = -35 -35 = -3(2y + 2) Reorder the terms: -35 = -3(2 + 2y) -35 = (2 * -3 + 2y * -3) -35 = (-6 + -6y) Solving -35 = -6 + -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. -35 + 6y = -6 + -6y + 6y Combine like terms: -6y + 6y = 0 -35 + 6y = -6 + 0 -35 + 6y = -6 Add '35' to each side of the equation. -35 + 35 + 6y = -6 + 35 Combine like terms: -35 + 35 = 0 0 + 6y = -6 + 35 6y = -6 + 35 Combine like terms: -6 + 35 = 29 6y = 29 Divide each side by '6'. y = 4.833333333 Simplifying y = 4.833333333
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