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Simplifying 7y + 3(y + -3) = 6(y + 1) + -4 Reorder the terms: 7y + 3(-3 + y) = 6(y + 1) + -4 7y + (-3 * 3 + y * 3) = 6(y + 1) + -4 7y + (-9 + 3y) = 6(y + 1) + -4 Reorder the terms: -9 + 7y + 3y = 6(y + 1) + -4 Combine like terms: 7y + 3y = 10y -9 + 10y = 6(y + 1) + -4 Reorder the terms: -9 + 10y = 6(1 + y) + -4 -9 + 10y = (1 * 6 + y * 6) + -4 -9 + 10y = (6 + 6y) + -4 Reorder the terms: -9 + 10y = 6 + -4 + 6y Combine like terms: 6 + -4 = 2 -9 + 10y = 2 + 6y Solving -9 + 10y = 2 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -9 + 10y + -6y = 2 + 6y + -6y Combine like terms: 10y + -6y = 4y -9 + 4y = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 -9 + 4y = 2 + 0 -9 + 4y = 2 Add '9' to each side of the equation. -9 + 9 + 4y = 2 + 9 Combine like terms: -9 + 9 = 0 0 + 4y = 2 + 9 4y = 2 + 9 Combine like terms: 2 + 9 = 11 4y = 11 Divide each side by '4'. y = 2.75 Simplifying y = 2.75
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