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Simplifying -3 + 4(-6y + -2) = 4(2y + -1) + 3 Reorder the terms: -3 + 4(-2 + -6y) = 4(2y + -1) + 3 -3 + (-2 * 4 + -6y * 4) = 4(2y + -1) + 3 -3 + (-8 + -24y) = 4(2y + -1) + 3 Combine like terms: -3 + -8 = -11 -11 + -24y = 4(2y + -1) + 3 Reorder the terms: -11 + -24y = 4(-1 + 2y) + 3 -11 + -24y = (-1 * 4 + 2y * 4) + 3 -11 + -24y = (-4 + 8y) + 3 Reorder the terms: -11 + -24y = -4 + 3 + 8y Combine like terms: -4 + 3 = -1 -11 + -24y = -1 + 8y Solving -11 + -24y = -1 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -11 + -24y + -8y = -1 + 8y + -8y Combine like terms: -24y + -8y = -32y -11 + -32y = -1 + 8y + -8y Combine like terms: 8y + -8y = 0 -11 + -32y = -1 + 0 -11 + -32y = -1 Add '11' to each side of the equation. -11 + 11 + -32y = -1 + 11 Combine like terms: -11 + 11 = 0 0 + -32y = -1 + 11 -32y = -1 + 11 Combine like terms: -1 + 11 = 10 -32y = 10 Divide each side by '-32'. y = -0.3125 Simplifying y = -0.3125
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