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Simplifying 3(5y + -8) + -4(y + -2) = 0 Reorder the terms: 3(-8 + 5y) + -4(y + -2) = 0 (-8 * 3 + 5y * 3) + -4(y + -2) = 0 (-24 + 15y) + -4(y + -2) = 0 Reorder the terms: -24 + 15y + -4(-2 + y) = 0 -24 + 15y + (-2 * -4 + y * -4) = 0 -24 + 15y + (8 + -4y) = 0 Reorder the terms: -24 + 8 + 15y + -4y = 0 Combine like terms: -24 + 8 = -16 -16 + 15y + -4y = 0 Combine like terms: 15y + -4y = 11y -16 + 11y = 0 Solving -16 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 11y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 11y = 0 + 16 11y = 0 + 16 Combine like terms: 0 + 16 = 16 11y = 16 Divide each side by '11'. y = 1.454545455 Simplifying y = 1.454545455
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