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Simplifying 4y + y + 1 = 7(y + 1) Reorder the terms: 1 + 4y + y = 7(y + 1) Combine like terms: 4y + y = 5y 1 + 5y = 7(y + 1) Reorder the terms: 1 + 5y = 7(1 + y) 1 + 5y = (1 * 7 + y * 7) 1 + 5y = (7 + 7y) Solving 1 + 5y = 7 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 1 + 5y + -7y = 7 + 7y + -7y Combine like terms: 5y + -7y = -2y 1 + -2y = 7 + 7y + -7y Combine like terms: 7y + -7y = 0 1 + -2y = 7 + 0 1 + -2y = 7 Add '-1' to each side of the equation. 1 + -1 + -2y = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 7 + -1 -2y = 7 + -1 Combine like terms: 7 + -1 = 6 -2y = 6 Divide each side by '-2'. y = -3 Simplifying y = -3
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