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Simplifying 8y + -3 = 5 + -2(4y + -6) Reorder the terms: -3 + 8y = 5 + -2(4y + -6) Reorder the terms: -3 + 8y = 5 + -2(-6 + 4y) -3 + 8y = 5 + (-6 * -2 + 4y * -2) -3 + 8y = 5 + (12 + -8y) Combine like terms: 5 + 12 = 17 -3 + 8y = 17 + -8y Solving -3 + 8y = 17 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -3 + 8y + 8y = 17 + -8y + 8y Combine like terms: 8y + 8y = 16y -3 + 16y = 17 + -8y + 8y Combine like terms: -8y + 8y = 0 -3 + 16y = 17 + 0 -3 + 16y = 17 Add '3' to each side of the equation. -3 + 3 + 16y = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 16y = 17 + 3 16y = 17 + 3 Combine like terms: 17 + 3 = 20 16y = 20 Divide each side by '16'. y = 1.25 Simplifying y = 1.25
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