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Simplifying y2 + -7y = y(y + 5) + 4 Reorder the terms: -7y + y2 = y(y + 5) + 4 Reorder the terms: -7y + y2 = y(5 + y) + 4 -7y + y2 = (5 * y + y * y) + 4 -7y + y2 = (5y + y2) + 4 Reorder the terms: -7y + y2 = 4 + 5y + y2 Add '-1y2' to each side of the equation. -7y + y2 + -1y2 = 4 + 5y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -7y + 0 = 4 + 5y + y2 + -1y2 -7y = 4 + 5y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -7y = 4 + 5y + 0 -7y = 4 + 5y Solving -7y = 4 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -7y + -5y = 4 + 5y + -5y Combine like terms: -7y + -5y = -12y -12y = 4 + 5y + -5y Combine like terms: 5y + -5y = 0 -12y = 4 + 0 -12y = 4 Divide each side by '-12'. y = -0.3333333333 Simplifying y = -0.3333333333
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