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Simplifying 6y + -7(3y + 4) = 6 Reorder the terms: 6y + -7(4 + 3y) = 6 6y + (4 * -7 + 3y * -7) = 6 6y + (-28 + -21y) = 6 Reorder the terms: -28 + 6y + -21y = 6 Combine like terms: 6y + -21y = -15y -28 + -15y = 6 Solving -28 + -15y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -15y = 6 + 28 Combine like terms: -28 + 28 = 0 0 + -15y = 6 + 28 -15y = 6 + 28 Combine like terms: 6 + 28 = 34 -15y = 34 Divide each side by '-15'. y = -2.266666667 Simplifying y = -2.266666667
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