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Simplifying 6y + 2(y + -5) = 3(y + 1) + -2 Reorder the terms: 6y + 2(-5 + y) = 3(y + 1) + -2 6y + (-5 * 2 + y * 2) = 3(y + 1) + -2 6y + (-10 + 2y) = 3(y + 1) + -2 Reorder the terms: -10 + 6y + 2y = 3(y + 1) + -2 Combine like terms: 6y + 2y = 8y -10 + 8y = 3(y + 1) + -2 Reorder the terms: -10 + 8y = 3(1 + y) + -2 -10 + 8y = (1 * 3 + y * 3) + -2 -10 + 8y = (3 + 3y) + -2 Reorder the terms: -10 + 8y = 3 + -2 + 3y Combine like terms: 3 + -2 = 1 -10 + 8y = 1 + 3y Solving -10 + 8y = 1 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -10 + 8y + -3y = 1 + 3y + -3y Combine like terms: 8y + -3y = 5y -10 + 5y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -10 + 5y = 1 + 0 -10 + 5y = 1 Add '10' to each side of the equation. -10 + 10 + 5y = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 5y = 1 + 10 5y = 1 + 10 Combine like terms: 1 + 10 = 11 5y = 11 Divide each side by '5'. y = 2.2 Simplifying y = 2.2
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