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Simplifying 8y + 3 + -5y = 3 + -2(y + 1) Reorder the terms: 3 + 8y + -5y = 3 + -2(y + 1) Combine like terms: 8y + -5y = 3y 3 + 3y = 3 + -2(y + 1) Reorder the terms: 3 + 3y = 3 + -2(1 + y) 3 + 3y = 3 + (1 * -2 + y * -2) 3 + 3y = 3 + (-2 + -2y) Combine like terms: 3 + -2 = 1 3 + 3y = 1 + -2y Solving 3 + 3y = 1 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 3 + 3y + 2y = 1 + -2y + 2y Combine like terms: 3y + 2y = 5y 3 + 5y = 1 + -2y + 2y Combine like terms: -2y + 2y = 0 3 + 5y = 1 + 0 3 + 5y = 1 Add '-3' to each side of the equation. 3 + -3 + 5y = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 5y = 1 + -3 5y = 1 + -3 Combine like terms: 1 + -3 = -2 5y = -2 Divide each side by '5'. y = -0.4 Simplifying y = -0.4
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