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Simplifying 2(y + -8) + -3(2y + -5) = 0 Reorder the terms: 2(-8 + y) + -3(2y + -5) = 0 (-8 * 2 + y * 2) + -3(2y + -5) = 0 (-16 + 2y) + -3(2y + -5) = 0 Reorder the terms: -16 + 2y + -3(-5 + 2y) = 0 -16 + 2y + (-5 * -3 + 2y * -3) = 0 -16 + 2y + (15 + -6y) = 0 Reorder the terms: -16 + 15 + 2y + -6y = 0 Combine like terms: -16 + 15 = -1 -1 + 2y + -6y = 0 Combine like terms: 2y + -6y = -4y -1 + -4y = 0 Solving -1 + -4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4y = 0 + 1 -4y = 0 + 1 Combine like terms: 0 + 1 = 1 -4y = 1 Divide each side by '-4'. y = -0.25 Simplifying y = -0.25
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