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Simplifying 9(y + 10) + y = 2(y + 4) + -8 Reorder the terms: 9(10 + y) + y = 2(y + 4) + -8 (10 * 9 + y * 9) + y = 2(y + 4) + -8 (90 + 9y) + y = 2(y + 4) + -8 Combine like terms: 9y + y = 10y 90 + 10y = 2(y + 4) + -8 Reorder the terms: 90 + 10y = 2(4 + y) + -8 90 + 10y = (4 * 2 + y * 2) + -8 90 + 10y = (8 + 2y) + -8 Reorder the terms: 90 + 10y = 8 + -8 + 2y Combine like terms: 8 + -8 = 0 90 + 10y = 0 + 2y 90 + 10y = 2y Solving 90 + 10y = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 90 + 10y + -2y = 2y + -2y Combine like terms: 10y + -2y = 8y 90 + 8y = 2y + -2y Combine like terms: 2y + -2y = 0 90 + 8y = 0 Add '-90' to each side of the equation. 90 + -90 + 8y = 0 + -90 Combine like terms: 90 + -90 = 0 0 + 8y = 0 + -90 8y = 0 + -90 Combine like terms: 0 + -90 = -90 8y = -90 Divide each side by '8'. y = -11.25 Simplifying y = -11.25
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