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Simplifying 2 + 5(y + 1) = y + -3(2y + 1) Reorder the terms: 2 + 5(1 + y) = y + -3(2y + 1) 2 + (1 * 5 + y * 5) = y + -3(2y + 1) 2 + (5 + 5y) = y + -3(2y + 1) Combine like terms: 2 + 5 = 7 7 + 5y = y + -3(2y + 1) Reorder the terms: 7 + 5y = y + -3(1 + 2y) 7 + 5y = y + (1 * -3 + 2y * -3) 7 + 5y = y + (-3 + -6y) Reorder the terms: 7 + 5y = -3 + y + -6y Combine like terms: y + -6y = -5y 7 + 5y = -3 + -5y Solving 7 + 5y = -3 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 7 + 5y + 5y = -3 + -5y + 5y Combine like terms: 5y + 5y = 10y 7 + 10y = -3 + -5y + 5y Combine like terms: -5y + 5y = 0 7 + 10y = -3 + 0 7 + 10y = -3 Add '-7' to each side of the equation. 7 + -7 + 10y = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 10y = -3 + -7 10y = -3 + -7 Combine like terms: -3 + -7 = -10 10y = -10 Divide each side by '10'. y = -1 Simplifying y = -1
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