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Simplifying 2y + 3 + 6(y + -7) = 5y + -6 Reorder the terms: 2y + 3 + 6(-7 + y) = 5y + -6 2y + 3 + (-7 * 6 + y * 6) = 5y + -6 2y + 3 + (-42 + 6y) = 5y + -6 Reorder the terms: 3 + -42 + 2y + 6y = 5y + -6 Combine like terms: 3 + -42 = -39 -39 + 2y + 6y = 5y + -6 Combine like terms: 2y + 6y = 8y -39 + 8y = 5y + -6 Reorder the terms: -39 + 8y = -6 + 5y Solving -39 + 8y = -6 + 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. -39 + 8y + -5y = -6 + 5y + -5y Combine like terms: 8y + -5y = 3y -39 + 3y = -6 + 5y + -5y Combine like terms: 5y + -5y = 0 -39 + 3y = -6 + 0 -39 + 3y = -6 Add '39' to each side of the equation. -39 + 39 + 3y = -6 + 39 Combine like terms: -39 + 39 = 0 0 + 3y = -6 + 39 3y = -6 + 39 Combine like terms: -6 + 39 = 33 3y = 33 Divide each side by '3'. y = 11 Simplifying y = 11
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