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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 = -3y 7 + -3y = 10 + 6y + -6y Combine like terms: 6y + -6y = 0 7 + -3y = 10 + 0 7 + -3y = 10 Add '-7' to each side of the equation. 7 + -7 + -3y = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = 10 + -7 -3y = 10 + -7 Combine like terms: 10 + -7 = 3 -3y = 3 Divide each side by '-3'. y = -1 Simplifying y = -1
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