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Simplifying 7y + -2(y + 2) = 9y + 20 Reorder the terms: 7y + -2(2 + y) = 9y + 20 7y + (2 * -2 + y * -2) = 9y + 20 7y + (-4 + -2y) = 9y + 20 Reorder the terms: -4 + 7y + -2y = 9y + 20 Combine like terms: 7y + -2y = 5y -4 + 5y = 9y + 20 Reorder the terms: -4 + 5y = 20 + 9y Solving -4 + 5y = 20 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -4 + 5y + -9y = 20 + 9y + -9y Combine like terms: 5y + -9y = -4y -4 + -4y = 20 + 9y + -9y Combine like terms: 9y + -9y = 0 -4 + -4y = 20 + 0 -4 + -4y = 20 Add '4' to each side of the equation. -4 + 4 + -4y = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -4y = 20 + 4 -4y = 20 + 4 Combine like terms: 20 + 4 = 24 -4y = 24 Divide each side by '-4'. y = -6 Simplifying y = -6
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