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Simplifying 7y + 3(y + -3) = 4(y + 1) + -2 Reorder the terms: 7y + 3(-3 + y) = 4(y + 1) + -2 7y + (-3 * 3 + y * 3) = 4(y + 1) + -2 7y + (-9 + 3y) = 4(y + 1) + -2 Reorder the terms: -9 + 7y + 3y = 4(y + 1) + -2 Combine like terms: 7y + 3y = 10y -9 + 10y = 4(y + 1) + -2 Reorder the terms: -9 + 10y = 4(1 + y) + -2 -9 + 10y = (1 * 4 + y * 4) + -2 -9 + 10y = (4 + 4y) + -2 Reorder the terms: -9 + 10y = 4 + -2 + 4y Combine like terms: 4 + -2 = 2 -9 + 10y = 2 + 4y Solving -9 + 10y = 2 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -9 + 10y + -4y = 2 + 4y + -4y Combine like terms: 10y + -4y = 6y -9 + 6y = 2 + 4y + -4y Combine like terms: 4y + -4y = 0 -9 + 6y = 2 + 0 -9 + 6y = 2 Add '9' to each side of the equation. -9 + 9 + 6y = 2 + 9 Combine like terms: -9 + 9 = 0 0 + 6y = 2 + 9 6y = 2 + 9 Combine like terms: 2 + 9 = 11 6y = 11 Divide each side by '6'. y = 1.833333333 Simplifying y = 1.833333333
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