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Simplifying -7(y + 3) + 3y + 6 = 5y + 7 Reorder the terms: -7(3 + y) + 3y + 6 = 5y + 7 (3 * -7 + y * -7) + 3y + 6 = 5y + 7 (-21 + -7y) + 3y + 6 = 5y + 7 Reorder the terms: -21 + 6 + -7y + 3y = 5y + 7 Combine like terms: -21 + 6 = -15 -15 + -7y + 3y = 5y + 7 Combine like terms: -7y + 3y = -4y -15 + -4y = 5y + 7 Reorder the terms: -15 + -4y = 7 + 5y Solving -15 + -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. -15 + -4y + -5y = 7 + 5y + -5y Combine like terms: -4y + -5y = -9y -15 + -9y = 7 + 5y + -5y Combine like terms: 5y + -5y = 0 -15 + -9y = 7 + 0 -15 + -9y = 7 Add '15' to each side of the equation. -15 + 15 + -9y = 7 + 15 Combine like terms: -15 + 15 = 0 0 + -9y = 7 + 15 -9y = 7 + 15 Combine like terms: 7 + 15 = 22 -9y = 22 Divide each side by '-9'. y = -2.444444444 Simplifying y = -2.444444444
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