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Simplifying 7(y + 5) = 9y + 19 Reorder the terms: 7(5 + y) = 9y + 19 (5 * 7 + y * 7) = 9y + 19 (35 + 7y) = 9y + 19 Reorder the terms: 35 + 7y = 19 + 9y Solving 35 + 7y = 19 + 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. 35 + 7y + -9y = 19 + 9y + -9y Combine like terms: 7y + -9y = -2y 35 + -2y = 19 + 9y + -9y Combine like terms: 9y + -9y = 0 35 + -2y = 19 + 0 35 + -2y = 19 Add '-35' to each side of the equation. 35 + -35 + -2y = 19 + -35 Combine like terms: 35 + -35 = 0 0 + -2y = 19 + -35 -2y = 19 + -35 Combine like terms: 19 + -35 = -16 -2y = -16 Divide each side by '-2'. y = 8 Simplifying y = 8
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