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Simplifying 8y + 2(y + -4) = 5(y + 1) Reorder the terms: 8y + 2(-4 + y) = 5(y + 1) 8y + (-4 * 2 + y * 2) = 5(y + 1) 8y + (-8 + 2y) = 5(y + 1) Reorder the terms: -8 + 8y + 2y = 5(y + 1) Combine like terms: 8y + 2y = 10y -8 + 10y = 5(y + 1) Reorder the terms: -8 + 10y = 5(1 + y) -8 + 10y = (1 * 5 + y * 5) -8 + 10y = (5 + 5y) Solving -8 + 10y = 5 + 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. -8 + 10y + -5y = 5 + 5y + -5y Combine like terms: 10y + -5y = 5y -8 + 5y = 5 + 5y + -5y Combine like terms: 5y + -5y = 0 -8 + 5y = 5 + 0 -8 + 5y = 5 Add '8' to each side of the equation. -8 + 8 + 5y = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 5y = 5 + 8 5y = 5 + 8 Combine like terms: 5 + 8 = 13 5y = 13 Divide each side by '5'. y = 2.6 Simplifying y = 2.6
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