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Simplifying 7y + -1(4y + 14) = 5 + -1(3y + -4) Reorder the terms: 7y + -1(14 + 4y) = 5 + -1(3y + -4) 7y + (14 * -1 + 4y * -1) = 5 + -1(3y + -4) 7y + (-14 + -4y) = 5 + -1(3y + -4) Reorder the terms: -14 + 7y + -4y = 5 + -1(3y + -4) Combine like terms: 7y + -4y = 3y -14 + 3y = 5 + -1(3y + -4) Reorder the terms: -14 + 3y = 5 + -1(-4 + 3y) -14 + 3y = 5 + (-4 * -1 + 3y * -1) -14 + 3y = 5 + (4 + -3y) Combine like terms: 5 + 4 = 9 -14 + 3y = 9 + -3y Solving -14 + 3y = 9 + -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. -14 + 3y + 3y = 9 + -3y + 3y Combine like terms: 3y + 3y = 6y -14 + 6y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 -14 + 6y = 9 + 0 -14 + 6y = 9 Add '14' to each side of the equation. -14 + 14 + 6y = 9 + 14 Combine like terms: -14 + 14 = 0 0 + 6y = 9 + 14 6y = 9 + 14 Combine like terms: 9 + 14 = 23 6y = 23 Divide each side by '6'. y = 3.833333333 Simplifying y = 3.833333333
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