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Simplifying -4(2y + 1) + -16 = -6(y + 5) + 2y Reorder the terms: -4(1 + 2y) + -16 = -6(y + 5) + 2y (1 * -4 + 2y * -4) + -16 = -6(y + 5) + 2y (-4 + -8y) + -16 = -6(y + 5) + 2y Reorder the terms: -4 + -16 + -8y = -6(y + 5) + 2y Combine like terms: -4 + -16 = -20 -20 + -8y = -6(y + 5) + 2y Reorder the terms: -20 + -8y = -6(5 + y) + 2y -20 + -8y = (5 * -6 + y * -6) + 2y -20 + -8y = (-30 + -6y) + 2y Combine like terms: -6y + 2y = -4y -20 + -8y = -30 + -4y Solving -20 + -8y = -30 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -20 + -8y + 4y = -30 + -4y + 4y Combine like terms: -8y + 4y = -4y -20 + -4y = -30 + -4y + 4y Combine like terms: -4y + 4y = 0 -20 + -4y = -30 + 0 -20 + -4y = -30 Add '20' to each side of the equation. -20 + 20 + -4y = -30 + 20 Combine like terms: -20 + 20 = 0 0 + -4y = -30 + 20 -4y = -30 + 20 Combine like terms: -30 + 20 = -10 -4y = -10 Divide each side by '-4'. y = 2.5 Simplifying y = 2.5
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