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Simplifying 7y + -1(2) = 3y(2) + 5 Multiply -1 * 2 7y + -2 = 3y(2) + 5 Reorder the terms: -2 + 7y = 3y(2) + 5 Reorder the terms for easier multiplication: -2 + 7y = 3 * 2y + 5 Multiply 3 * 2 -2 + 7y = 6y + 5 Reorder the terms: -2 + 7y = 5 + 6y Solving -2 + 7y = 5 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -2 + 7y + -6y = 5 + 6y + -6y Combine like terms: 7y + -6y = 1y -2 + 1y = 5 + 6y + -6y Combine like terms: 6y + -6y = 0 -2 + 1y = 5 + 0 -2 + 1y = 5 Add '2' to each side of the equation. -2 + 2 + 1y = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 1y = 5 + 2 1y = 5 + 2 Combine like terms: 5 + 2 = 7 1y = 7 Divide each side by '1'. y = 7 Simplifying y = 7
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