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Simplifying 7y + 4(y + -5) = 3(y + 2) + -3 Reorder the terms: 7y + 4(-5 + y) = 3(y + 2) + -3 7y + (-5 * 4 + y * 4) = 3(y + 2) + -3 7y + (-20 + 4y) = 3(y + 2) + -3 Reorder the terms: -20 + 7y + 4y = 3(y + 2) + -3 Combine like terms: 7y + 4y = 11y -20 + 11y = 3(y + 2) + -3 Reorder the terms: -20 + 11y = 3(2 + y) + -3 -20 + 11y = (2 * 3 + y * 3) + -3 -20 + 11y = (6 + 3y) + -3 Reorder the terms: -20 + 11y = 6 + -3 + 3y Combine like terms: 6 + -3 = 3 -20 + 11y = 3 + 3y Solving -20 + 11y = 3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -20 + 11y + -3y = 3 + 3y + -3y Combine like terms: 11y + -3y = 8y -20 + 8y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 -20 + 8y = 3 + 0 -20 + 8y = 3 Add '20' to each side of the equation. -20 + 20 + 8y = 3 + 20 Combine like terms: -20 + 20 = 0 0 + 8y = 3 + 20 8y = 3 + 20 Combine like terms: 3 + 20 = 23 8y = 23 Divide each side by '8'. y = 2.875 Simplifying y = 2.875
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