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Simplifying 9(y + 10) + y = 3(y + 3) + 4 Reorder the terms: 9(10 + y) + y = 3(y + 3) + 4 (10 * 9 + y * 9) + y = 3(y + 3) + 4 (90 + 9y) + y = 3(y + 3) + 4 Combine like terms: 9y + y = 10y 90 + 10y = 3(y + 3) + 4 Reorder the terms: 90 + 10y = 3(3 + y) + 4 90 + 10y = (3 * 3 + y * 3) + 4 90 + 10y = (9 + 3y) + 4 Reorder the terms: 90 + 10y = 9 + 4 + 3y Combine like terms: 9 + 4 = 13 90 + 10y = 13 + 3y Solving 90 + 10y = 13 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 90 + 10y + -3y = 13 + 3y + -3y Combine like terms: 10y + -3y = 7y 90 + 7y = 13 + 3y + -3y Combine like terms: 3y + -3y = 0 90 + 7y = 13 + 0 90 + 7y = 13 Add '-90' to each side of the equation. 90 + -90 + 7y = 13 + -90 Combine like terms: 90 + -90 = 0 0 + 7y = 13 + -90 7y = 13 + -90 Combine like terms: 13 + -90 = -77 7y = -77 Divide each side by '7'. y = -11 Simplifying y = -11
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