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Simplifying -7(y + 4) + 3y + 5 = 5y + 7 Reorder the terms: -7(4 + y) + 3y + 5 = 5y + 7 (4 * -7 + y * -7) + 3y + 5 = 5y + 7 (-28 + -7y) + 3y + 5 = 5y + 7 Reorder the terms: -28 + 5 + -7y + 3y = 5y + 7 Combine like terms: -28 + 5 = -23 -23 + -7y + 3y = 5y + 7 Combine like terms: -7y + 3y = -4y -23 + -4y = 5y + 7 Reorder the terms: -23 + -4y = 7 + 5y Solving -23 + -4y = 7 + 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. -23 + -4y + -5y = 7 + 5y + -5y Combine like terms: -4y + -5y = -9y -23 + -9y = 7 + 5y + -5y Combine like terms: 5y + -5y = 0 -23 + -9y = 7 + 0 -23 + -9y = 7 Add '23' to each side of the equation. -23 + 23 + -9y = 7 + 23 Combine like terms: -23 + 23 = 0 0 + -9y = 7 + 23 -9y = 7 + 23 Combine like terms: 7 + 23 = 30 -9y = 30 Divide each side by '-9'. y = -3.333333333 Simplifying y = -3.333333333
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