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Simplifying 7y + 3(y + -5) = 4(y + 1) + -2 Reorder the terms: 7y + 3(-5 + y) = 4(y + 1) + -2 7y + (-5 * 3 + y * 3) = 4(y + 1) + -2 7y + (-15 + 3y) = 4(y + 1) + -2 Reorder the terms: -15 + 7y + 3y = 4(y + 1) + -2 Combine like terms: 7y + 3y = 10y -15 + 10y = 4(y + 1) + -2 Reorder the terms: -15 + 10y = 4(1 + y) + -2 -15 + 10y = (1 * 4 + y * 4) + -2 -15 + 10y = (4 + 4y) + -2 Reorder the terms: -15 + 10y = 4 + -2 + 4y Combine like terms: 4 + -2 = 2 -15 + 10y = 2 + 4y Solving -15 + 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. -15 + 10y + -4y = 2 + 4y + -4y Combine like terms: 10y + -4y = 6y -15 + 6y = 2 + 4y + -4y Combine like terms: 4y + -4y = 0 -15 + 6y = 2 + 0 -15 + 6y = 2 Add '15' to each side of the equation. -15 + 15 + 6y = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 6y = 2 + 15 6y = 2 + 15 Combine like terms: 2 + 15 = 17 6y = 17 Divide each side by '6'. y = 2.833333333 Simplifying y = 2.833333333
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