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Simplifying -5 + (7y + -1) = -6(-4y + 6) + 2 Reorder the terms: -5 + (-1 + 7y) = -6(-4y + 6) + 2 Remove parenthesis around (-1 + 7y) -5 + -1 + 7y = -6(-4y + 6) + 2 Combine like terms: -5 + -1 = -6 -6 + 7y = -6(-4y + 6) + 2 Reorder the terms: -6 + 7y = -6(6 + -4y) + 2 -6 + 7y = (6 * -6 + -4y * -6) + 2 -6 + 7y = (-36 + 24y) + 2 Reorder the terms: -6 + 7y = -36 + 2 + 24y Combine like terms: -36 + 2 = -34 -6 + 7y = -34 + 24y Solving -6 + 7y = -34 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -6 + 7y + -24y = -34 + 24y + -24y Combine like terms: 7y + -24y = -17y -6 + -17y = -34 + 24y + -24y Combine like terms: 24y + -24y = 0 -6 + -17y = -34 + 0 -6 + -17y = -34 Add '6' to each side of the equation. -6 + 6 + -17y = -34 + 6 Combine like terms: -6 + 6 = 0 0 + -17y = -34 + 6 -17y = -34 + 6 Combine like terms: -34 + 6 = -28 -17y = -28 Divide each side by '-17'. y = 1.647058824 Simplifying y = 1.647058824
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