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Simplifying 8y + 2(y + -7) = 3(y + 1) + -2 Reorder the terms: 8y + 2(-7 + y) = 3(y + 1) + -2 8y + (-7 * 2 + y * 2) = 3(y + 1) + -2 8y + (-14 + 2y) = 3(y + 1) + -2 Reorder the terms: -14 + 8y + 2y = 3(y + 1) + -2 Combine like terms: 8y + 2y = 10y -14 + 10y = 3(y + 1) + -2 Reorder the terms: -14 + 10y = 3(1 + y) + -2 -14 + 10y = (1 * 3 + y * 3) + -2 -14 + 10y = (3 + 3y) + -2 Reorder the terms: -14 + 10y = 3 + -2 + 3y Combine like terms: 3 + -2 = 1 -14 + 10y = 1 + 3y Solving -14 + 10y = 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 + 10y + -3y = 1 + 3y + -3y Combine like terms: 10y + -3y = 7y -14 + 7y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -14 + 7y = 1 + 0 -14 + 7y = 1 Add '14' to each side of the equation. -14 + 14 + 7y = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 7y = 1 + 14 7y = 1 + 14 Combine like terms: 1 + 14 = 15 7y = 15 Divide each side by '7'. y = 2.142857143 Simplifying y = 2.142857143
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