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Simplifying 6y + 2(y + -6) = 5(y + 1) + -3 Reorder the terms: 6y + 2(-6 + y) = 5(y + 1) + -3 6y + (-6 * 2 + y * 2) = 5(y + 1) + -3 6y + (-12 + 2y) = 5(y + 1) + -3 Reorder the terms: -12 + 6y + 2y = 5(y + 1) + -3 Combine like terms: 6y + 2y = 8y -12 + 8y = 5(y + 1) + -3 Reorder the terms: -12 + 8y = 5(1 + y) + -3 -12 + 8y = (1 * 5 + y * 5) + -3 -12 + 8y = (5 + 5y) + -3 Reorder the terms: -12 + 8y = 5 + -3 + 5y Combine like terms: 5 + -3 = 2 -12 + 8y = 2 + 5y Solving -12 + 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. -12 + 8y + -5y = 2 + 5y + -5y Combine like terms: 8y + -5y = 3y -12 + 3y = 2 + 5y + -5y Combine like terms: 5y + -5y = 0 -12 + 3y = 2 + 0 -12 + 3y = 2 Add '12' to each side of the equation. -12 + 12 + 3y = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 3y = 2 + 12 3y = 2 + 12 Combine like terms: 2 + 12 = 14 3y = 14 Divide each side by '3'. y = 4.666666667 Simplifying y = 4.666666667
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