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Simplifying y + 4(6y + 4) = 16(y + 1) + 7y Reorder the terms: y + 4(4 + 6y) = 16(y + 1) + 7y y + (4 * 4 + 6y * 4) = 16(y + 1) + 7y y + (16 + 24y) = 16(y + 1) + 7y Reorder the terms: 16 + y + 24y = 16(y + 1) + 7y Combine like terms: y + 24y = 25y 16 + 25y = 16(y + 1) + 7y Reorder the terms: 16 + 25y = 16(1 + y) + 7y 16 + 25y = (1 * 16 + y * 16) + 7y 16 + 25y = (16 + 16y) + 7y Combine like terms: 16y + 7y = 23y 16 + 25y = 16 + 23y Add '-16' to each side of the equation. 16 + -16 + 25y = 16 + -16 + 23y Combine like terms: 16 + -16 = 0 0 + 25y = 16 + -16 + 23y 25y = 16 + -16 + 23y Combine like terms: 16 + -16 = 0 25y = 0 + 23y 25y = 23y Solving 25y = 23y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23y' to each side of the equation. 25y + -23y = 23y + -23y Combine like terms: 25y + -23y = 2y 2y = 23y + -23y Combine like terms: 23y + -23y = 0 2y = 0 Divide each side by '2'. y = 0 Simplifying y = 0
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