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Simplifying 7y + -2(y + 20) = 9y + 20 Reorder the terms: 7y + -2(20 + y) = 9y + 20 7y + (20 * -2 + y * -2) = 9y + 20 7y + (-40 + -2y) = 9y + 20 Reorder the terms: -40 + 7y + -2y = 9y + 20 Combine like terms: 7y + -2y = 5y -40 + 5y = 9y + 20 Reorder the terms: -40 + 5y = 20 + 9y Solving -40 + 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. -40 + 5y + -9y = 20 + 9y + -9y Combine like terms: 5y + -9y = -4y -40 + -4y = 20 + 9y + -9y Combine like terms: 9y + -9y = 0 -40 + -4y = 20 + 0 -40 + -4y = 20 Add '40' to each side of the equation. -40 + 40 + -4y = 20 + 40 Combine like terms: -40 + 40 = 0 0 + -4y = 20 + 40 -4y = 20 + 40 Combine like terms: 20 + 40 = 60 -4y = 60 Divide each side by '-4'. y = -15 Simplifying y = -15
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