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Simplifying (6y + -7) + -1(3y + -5) * 6 = 40 Reorder the terms: (-7 + 6y) + -1(3y + -5) * 6 = 40 Remove parenthesis around (-7 + 6y) -7 + 6y + -1(3y + -5) * 6 = 40 Reorder the terms: -7 + 6y + -1(-5 + 3y) * 6 = 40 Reorder the terms for easier multiplication: -7 + 6y + -1 * 6(-5 + 3y) = 40 Multiply -1 * 6 -7 + 6y + -6(-5 + 3y) = 40 -7 + 6y + (-5 * -6 + 3y * -6) = 40 -7 + 6y + (30 + -18y) = 40 Reorder the terms: -7 + 30 + 6y + -18y = 40 Combine like terms: -7 + 30 = 23 23 + 6y + -18y = 40 Combine like terms: 6y + -18y = -12y 23 + -12y = 40 Solving 23 + -12y = 40 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -12y = 40 + -23 Combine like terms: 23 + -23 = 0 0 + -12y = 40 + -23 -12y = 40 + -23 Combine like terms: 40 + -23 = 17 -12y = 17 Divide each side by '-12'. y = -1.416666667 Simplifying y = -1.416666667
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