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Simplifying 3y + 7 = 14 + -1(6y + 4) Reorder the terms: 7 + 3y = 14 + -1(6y + 4) Reorder the terms: 7 + 3y = 14 + -1(4 + 6y) 7 + 3y = 14 + (4 * -1 + 6y * -1) 7 + 3y = 14 + (-4 + -6y) Combine like terms: 14 + -4 = 10 7 + 3y = 10 + -6y Solving 7 + 3y = 10 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 7 + 3y + 6y = 10 + -6y + 6y Combine like terms: 3y + 6y = 9y 7 + 9y = 10 + -6y + 6y Combine like terms: -6y + 6y = 0 7 + 9y = 10 + 0 7 + 9y = 10 Add '-7' to each side of the equation. 7 + -7 + 9y = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 9y = 10 + -7 9y = 10 + -7 Combine like terms: 10 + -7 = 3 9y = 3 Divide each side by '9'. y = 0.3333333333 Simplifying y = 0.3333333333
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