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Simplifying 8y + 2(y + -3) = 5(y + 1) + -4 Reorder the terms: 8y + 2(-3 + y) = 5(y + 1) + -4 8y + (-3 * 2 + y * 2) = 5(y + 1) + -4 8y + (-6 + 2y) = 5(y + 1) + -4 Reorder the terms: -6 + 8y + 2y = 5(y + 1) + -4 Combine like terms: 8y + 2y = 10y -6 + 10y = 5(y + 1) + -4 Reorder the terms: -6 + 10y = 5(1 + y) + -4 -6 + 10y = (1 * 5 + y * 5) + -4 -6 + 10y = (5 + 5y) + -4 Reorder the terms: -6 + 10y = 5 + -4 + 5y Combine like terms: 5 + -4 = 1 -6 + 10y = 1 + 5y Solving -6 + 10y = 1 + 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. -6 + 10y + -5y = 1 + 5y + -5y Combine like terms: 10y + -5y = 5y -6 + 5y = 1 + 5y + -5y Combine like terms: 5y + -5y = 0 -6 + 5y = 1 + 0 -6 + 5y = 1 Add '6' to each side of the equation. -6 + 6 + 5y = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = 1 + 6 5y = 1 + 6 Combine like terms: 1 + 6 = 7 5y = 7 Divide each side by '5'. y = 1.4 Simplifying y = 1.4
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