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Simplifying 6(2y + -7) = 5y Reorder the terms: 6(-7 + 2y) = 5y (-7 * 6 + 2y * 6) = 5y (-42 + 12y) = 5y Solving -42 + 12y = 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. -42 + 12y + -5y = 5y + -5y Combine like terms: 12y + -5y = 7y -42 + 7y = 5y + -5y Combine like terms: 5y + -5y = 0 -42 + 7y = 0 Add '42' to each side of the equation. -42 + 42 + 7y = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 7y = 0 + 42 7y = 0 + 42 Combine like terms: 0 + 42 = 42 7y = 42 Divide each side by '7'. y = 6 Simplifying y = 6
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