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Simplifying 7y + 3(y + -3) = 5(y + 1) + -2 Reorder the terms: 7y + 3(-3 + y) = 5(y + 1) + -2 7y + (-3 * 3 + y * 3) = 5(y + 1) + -2 7y + (-9 + 3y) = 5(y + 1) + -2 Reorder the terms: -9 + 7y + 3y = 5(y + 1) + -2 Combine like terms: 7y + 3y = 10y -9 + 10y = 5(y + 1) + -2 Reorder the terms: -9 + 10y = 5(1 + y) + -2 -9 + 10y = (1 * 5 + y * 5) + -2 -9 + 10y = (5 + 5y) + -2 Reorder the terms: -9 + 10y = 5 + -2 + 5y Combine like terms: 5 + -2 = 3 -9 + 10y = 3 + 5y Solving -9 + 10y = 3 + 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. -9 + 10y + -5y = 3 + 5y + -5y Combine like terms: 10y + -5y = 5y -9 + 5y = 3 + 5y + -5y Combine like terms: 5y + -5y = 0 -9 + 5y = 3 + 0 -9 + 5y = 3 Add '9' to each side of the equation. -9 + 9 + 5y = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 5y = 3 + 9 5y = 3 + 9 Combine like terms: 3 + 9 = 12 5y = 12 Divide each side by '5'. y = 2.4 Simplifying y = 2.4
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