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Simplifying 7y + 3(y + -5) = 3(y + 3) + -2 Reorder the terms: 7y + 3(-5 + y) = 3(y + 3) + -2 7y + (-5 * 3 + y * 3) = 3(y + 3) + -2 7y + (-15 + 3y) = 3(y + 3) + -2 Reorder the terms: -15 + 7y + 3y = 3(y + 3) + -2 Combine like terms: 7y + 3y = 10y -15 + 10y = 3(y + 3) + -2 Reorder the terms: -15 + 10y = 3(3 + y) + -2 -15 + 10y = (3 * 3 + y * 3) + -2 -15 + 10y = (9 + 3y) + -2 Reorder the terms: -15 + 10y = 9 + -2 + 3y Combine like terms: 9 + -2 = 7 -15 + 10y = 7 + 3y Solving -15 + 10y = 7 + 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. -15 + 10y + -3y = 7 + 3y + -3y Combine like terms: 10y + -3y = 7y -15 + 7y = 7 + 3y + -3y Combine like terms: 3y + -3y = 0 -15 + 7y = 7 + 0 -15 + 7y = 7 Add '15' to each side of the equation. -15 + 15 + 7y = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 7y = 7 + 15 7y = 7 + 15 Combine like terms: 7 + 15 = 22 7y = 22 Divide each side by '7'. y = 3.142857143 Simplifying y = 3.142857143
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