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Simplifying 6y + 2(y + -4) = 5(y + 1) + -3 Reorder the terms: 6y + 2(-4 + y) = 5(y + 1) + -3 6y + (-4 * 2 + y * 2) = 5(y + 1) + -3 6y + (-8 + 2y) = 5(y + 1) + -3 Reorder the terms: -8 + 6y + 2y = 5(y + 1) + -3 Combine like terms: 6y + 2y = 8y -8 + 8y = 5(y + 1) + -3 Reorder the terms: -8 + 8y = 5(1 + y) + -3 -8 + 8y = (1 * 5 + y * 5) + -3 -8 + 8y = (5 + 5y) + -3 Reorder the terms: -8 + 8y = 5 + -3 + 5y Combine like terms: 5 + -3 = 2 -8 + 8y = 2 + 5y Solving -8 + 8y = 2 + 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 + 8y + -5y = 2 + 5y + -5y Combine like terms: 8y + -5y = 3y -8 + 3y = 2 + 5y + -5y Combine like terms: 5y + -5y = 0 -8 + 3y = 2 + 0 -8 + 3y = 2 Add '8' to each side of the equation. -8 + 8 + 3y = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 3y = 2 + 8 3y = 2 + 8 Combine like terms: 2 + 8 = 10 3y = 10 Divide each side by '3'. y = 3.333333333 Simplifying y = 3.333333333
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