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Simplifying 5y2 + 19y + -45 = 5y(y + 2) Reorder the terms: -45 + 19y + 5y2 = 5y(y + 2) Reorder the terms: -45 + 19y + 5y2 = 5y(2 + y) -45 + 19y + 5y2 = (2 * 5y + y * 5y) -45 + 19y + 5y2 = (10y + 5y2) Add '-5y2' to each side of the equation. -45 + 19y + 5y2 + -5y2 = 10y + 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 -45 + 19y + 0 = 10y + 5y2 + -5y2 -45 + 19y = 10y + 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 -45 + 19y = 10y + 0 -45 + 19y = 10y Solving -45 + 19y = 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -45 + 19y + -10y = 10y + -10y Combine like terms: 19y + -10y = 9y -45 + 9y = 10y + -10y Combine like terms: 10y + -10y = 0 -45 + 9y = 0 Add '45' to each side of the equation. -45 + 45 + 9y = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 9y = 0 + 45 9y = 0 + 45 Combine like terms: 0 + 45 = 45 9y = 45 Divide each side by '9'. y = 5 Simplifying y = 5
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