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Simplifying -4(2y + 1) + -5 = -4(y + 6) + 2y Reorder the terms: -4(1 + 2y) + -5 = -4(y + 6) + 2y (1 * -4 + 2y * -4) + -5 = -4(y + 6) + 2y (-4 + -8y) + -5 = -4(y + 6) + 2y Reorder the terms: -4 + -5 + -8y = -4(y + 6) + 2y Combine like terms: -4 + -5 = -9 -9 + -8y = -4(y + 6) + 2y Reorder the terms: -9 + -8y = -4(6 + y) + 2y -9 + -8y = (6 * -4 + y * -4) + 2y -9 + -8y = (-24 + -4y) + 2y Combine like terms: -4y + 2y = -2y -9 + -8y = -24 + -2y Solving -9 + -8y = -24 + -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. -9 + -8y + 2y = -24 + -2y + 2y Combine like terms: -8y + 2y = -6y -9 + -6y = -24 + -2y + 2y Combine like terms: -2y + 2y = 0 -9 + -6y = -24 + 0 -9 + -6y = -24 Add '9' to each side of the equation. -9 + 9 + -6y = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -6y = -24 + 9 -6y = -24 + 9 Combine like terms: -24 + 9 = -15 -6y = -15 Divide each side by '-6'. y = 2.5 Simplifying y = 2.5
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