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Simplifying 5y + 2(y + -7) = 3(y + 2) + -5 Reorder the terms: 5y + 2(-7 + y) = 3(y + 2) + -5 5y + (-7 * 2 + y * 2) = 3(y + 2) + -5 5y + (-14 + 2y) = 3(y + 2) + -5 Reorder the terms: -14 + 5y + 2y = 3(y + 2) + -5 Combine like terms: 5y + 2y = 7y -14 + 7y = 3(y + 2) + -5 Reorder the terms: -14 + 7y = 3(2 + y) + -5 -14 + 7y = (2 * 3 + y * 3) + -5 -14 + 7y = (6 + 3y) + -5 Reorder the terms: -14 + 7y = 6 + -5 + 3y Combine like terms: 6 + -5 = 1 -14 + 7y = 1 + 3y Solving -14 + 7y = 1 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -14 + 7y + -3y = 1 + 3y + -3y Combine like terms: 7y + -3y = 4y -14 + 4y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -14 + 4y = 1 + 0 -14 + 4y = 1 Add '14' to each side of the equation. -14 + 14 + 4y = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 4y = 1 + 14 4y = 1 + 14 Combine like terms: 1 + 14 = 15 4y = 15 Divide each side by '4'. y = 3.75 Simplifying y = 3.75
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