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Simplifying -4(2y + 5) + -3 = -4(y + 8) + 2y Reorder the terms: -4(5 + 2y) + -3 = -4(y + 8) + 2y (5 * -4 + 2y * -4) + -3 = -4(y + 8) + 2y (-20 + -8y) + -3 = -4(y + 8) + 2y Reorder the terms: -20 + -3 + -8y = -4(y + 8) + 2y Combine like terms: -20 + -3 = -23 -23 + -8y = -4(y + 8) + 2y Reorder the terms: -23 + -8y = -4(8 + y) + 2y -23 + -8y = (8 * -4 + y * -4) + 2y -23 + -8y = (-32 + -4y) + 2y Combine like terms: -4y + 2y = -2y -23 + -8y = -32 + -2y Solving -23 + -8y = -32 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -23 + -8y + 2y = -32 + -2y + 2y Combine like terms: -8y + 2y = -6y -23 + -6y = -32 + -2y + 2y Combine like terms: -2y + 2y = 0 -23 + -6y = -32 + 0 -23 + -6y = -32 Add '23' to each side of the equation. -23 + 23 + -6y = -32 + 23 Combine like terms: -23 + 23 = 0 0 + -6y = -32 + 23 -6y = -32 + 23 Combine like terms: -32 + 23 = -9 -6y = -9 Divide each side by '-6'. y = 1.5 Simplifying y = 1.5
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