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Simplifying 7y + 3(y + -5) = 5(y + 2) + -4 Reorder the terms: 7y + 3(-5 + y) = 5(y + 2) + -4 7y + (-5 * 3 + y * 3) = 5(y + 2) + -4 7y + (-15 + 3y) = 5(y + 2) + -4 Reorder the terms: -15 + 7y + 3y = 5(y + 2) + -4 Combine like terms: 7y + 3y = 10y -15 + 10y = 5(y + 2) + -4 Reorder the terms: -15 + 10y = 5(2 + y) + -4 -15 + 10y = (2 * 5 + y * 5) + -4 -15 + 10y = (10 + 5y) + -4 Reorder the terms: -15 + 10y = 10 + -4 + 5y Combine like terms: 10 + -4 = 6 -15 + 10y = 6 + 5y Solving -15 + 10y = 6 + 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. -15 + 10y + -5y = 6 + 5y + -5y Combine like terms: 10y + -5y = 5y -15 + 5y = 6 + 5y + -5y Combine like terms: 5y + -5y = 0 -15 + 5y = 6 + 0 -15 + 5y = 6 Add '15' to each side of the equation. -15 + 15 + 5y = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 5y = 6 + 15 5y = 6 + 15 Combine like terms: 6 + 15 = 21 5y = 21 Divide each side by '5'. y = 4.2 Simplifying y = 4.2
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