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Simplifying -6(-4y + 6) + -6y = 6(y + -7) + -3 Reorder the terms: -6(6 + -4y) + -6y = 6(y + -7) + -3 (6 * -6 + -4y * -6) + -6y = 6(y + -7) + -3 (-36 + 24y) + -6y = 6(y + -7) + -3 Combine like terms: 24y + -6y = 18y -36 + 18y = 6(y + -7) + -3 Reorder the terms: -36 + 18y = 6(-7 + y) + -3 -36 + 18y = (-7 * 6 + y * 6) + -3 -36 + 18y = (-42 + 6y) + -3 Reorder the terms: -36 + 18y = -42 + -3 + 6y Combine like terms: -42 + -3 = -45 -36 + 18y = -45 + 6y Solving -36 + 18y = -45 + 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. -36 + 18y + -6y = -45 + 6y + -6y Combine like terms: 18y + -6y = 12y -36 + 12y = -45 + 6y + -6y Combine like terms: 6y + -6y = 0 -36 + 12y = -45 + 0 -36 + 12y = -45 Add '36' to each side of the equation. -36 + 36 + 12y = -45 + 36 Combine like terms: -36 + 36 = 0 0 + 12y = -45 + 36 12y = -45 + 36 Combine like terms: -45 + 36 = -9 12y = -9 Divide each side by '12'. y = -0.75 Simplifying y = -0.75
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