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Simplifying 4(6y + -2) + -7(4y + -3) = -3 Reorder the terms: 4(-2 + 6y) + -7(4y + -3) = -3 (-2 * 4 + 6y * 4) + -7(4y + -3) = -3 (-8 + 24y) + -7(4y + -3) = -3 Reorder the terms: -8 + 24y + -7(-3 + 4y) = -3 -8 + 24y + (-3 * -7 + 4y * -7) = -3 -8 + 24y + (21 + -28y) = -3 Reorder the terms: -8 + 21 + 24y + -28y = -3 Combine like terms: -8 + 21 = 13 13 + 24y + -28y = -3 Combine like terms: 24y + -28y = -4y 13 + -4y = -3 Solving 13 + -4y = -3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4y = -3 + -13 Combine like terms: 13 + -13 = 0 0 + -4y = -3 + -13 -4y = -3 + -13 Combine like terms: -3 + -13 = -16 -4y = -16 Divide each side by '-4'. y = 4 Simplifying y = 4
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