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Simplifying -1 + -3(8y + 2) = 7(-2y + -8) + 4 Reorder the terms: -1 + -3(2 + 8y) = 7(-2y + -8) + 4 -1 + (2 * -3 + 8y * -3) = 7(-2y + -8) + 4 -1 + (-6 + -24y) = 7(-2y + -8) + 4 Combine like terms: -1 + -6 = -7 -7 + -24y = 7(-2y + -8) + 4 Reorder the terms: -7 + -24y = 7(-8 + -2y) + 4 -7 + -24y = (-8 * 7 + -2y * 7) + 4 -7 + -24y = (-56 + -14y) + 4 Reorder the terms: -7 + -24y = -56 + 4 + -14y Combine like terms: -56 + 4 = -52 -7 + -24y = -52 + -14y Solving -7 + -24y = -52 + -14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14y' to each side of the equation. -7 + -24y + 14y = -52 + -14y + 14y Combine like terms: -24y + 14y = -10y -7 + -10y = -52 + -14y + 14y Combine like terms: -14y + 14y = 0 -7 + -10y = -52 + 0 -7 + -10y = -52 Add '7' to each side of the equation. -7 + 7 + -10y = -52 + 7 Combine like terms: -7 + 7 = 0 0 + -10y = -52 + 7 -10y = -52 + 7 Combine like terms: -52 + 7 = -45 -10y = -45 Divide each side by '-10'. y = 4.5 Simplifying y = 4.5
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