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Simplifying 5(y + 1) + -8 = 5y(2 + -4) Reorder the terms: 5(1 + y) + -8 = 5y(2 + -4) (1 * 5 + y * 5) + -8 = 5y(2 + -4) (5 + 5y) + -8 = 5y(2 + -4) Reorder the terms: 5 + -8 + 5y = 5y(2 + -4) Combine like terms: 5 + -8 = -3 -3 + 5y = 5y(2 + -4) Combine like terms: 2 + -4 = -2 -3 + 5y = 5y(-2) Reorder the terms for easier multiplication: -3 + 5y = 5 * -2y Multiply 5 * -2 -3 + 5y = -10y Solving -3 + 5y = -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -3 + 5y + 10y = -10y + 10y Combine like terms: 5y + 10y = 15y -3 + 15y = -10y + 10y Combine like terms: -10y + 10y = 0 -3 + 15y = 0 Add '3' to each side of the equation. -3 + 3 + 15y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 15y = 0 + 3 15y = 0 + 3 Combine like terms: 0 + 3 = 3 15y = 3 Divide each side by '15'. y = 0.2 Simplifying y = 0.2
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