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Simplifying 5 + -6(-2y + 1) = -4(3y + 2) + -7 Reorder the terms: 5 + -6(1 + -2y) = -4(3y + 2) + -7 5 + (1 * -6 + -2y * -6) = -4(3y + 2) + -7 5 + (-6 + 12y) = -4(3y + 2) + -7 Combine like terms: 5 + -6 = -1 -1 + 12y = -4(3y + 2) + -7 Reorder the terms: -1 + 12y = -4(2 + 3y) + -7 -1 + 12y = (2 * -4 + 3y * -4) + -7 -1 + 12y = (-8 + -12y) + -7 Reorder the terms: -1 + 12y = -8 + -7 + -12y Combine like terms: -8 + -7 = -15 -1 + 12y = -15 + -12y Solving -1 + 12y = -15 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. -1 + 12y + 12y = -15 + -12y + 12y Combine like terms: 12y + 12y = 24y -1 + 24y = -15 + -12y + 12y Combine like terms: -12y + 12y = 0 -1 + 24y = -15 + 0 -1 + 24y = -15 Add '1' to each side of the equation. -1 + 1 + 24y = -15 + 1 Combine like terms: -1 + 1 = 0 0 + 24y = -15 + 1 24y = -15 + 1 Combine like terms: -15 + 1 = -14 24y = -14 Divide each side by '24'. y = -0.5833333333 Simplifying y = -0.5833333333
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