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Simplifying 10(y + 1) + 4 = 3y + 7 Reorder the terms: 10(1 + y) + 4 = 3y + 7 (1 * 10 + y * 10) + 4 = 3y + 7 (10 + 10y) + 4 = 3y + 7 Reorder the terms: 10 + 4 + 10y = 3y + 7 Combine like terms: 10 + 4 = 14 14 + 10y = 3y + 7 Reorder the terms: 14 + 10y = 7 + 3y Solving 14 + 10y = 7 + 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. 14 + 10y + -3y = 7 + 3y + -3y Combine like terms: 10y + -3y = 7y 14 + 7y = 7 + 3y + -3y Combine like terms: 3y + -3y = 0 14 + 7y = 7 + 0 14 + 7y = 7 Add '-14' to each side of the equation. 14 + -14 + 7y = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 7y = 7 + -14 7y = 7 + -14 Combine like terms: 7 + -14 = -7 7y = -7 Divide each side by '7'. y = -1 Simplifying y = -1
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