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Simplifying -3(4y + -6) + 2(2y + 10) = 0 Reorder the terms: -3(-6 + 4y) + 2(2y + 10) = 0 (-6 * -3 + 4y * -3) + 2(2y + 10) = 0 (18 + -12y) + 2(2y + 10) = 0 Reorder the terms: 18 + -12y + 2(10 + 2y) = 0 18 + -12y + (10 * 2 + 2y * 2) = 0 18 + -12y + (20 + 4y) = 0 Reorder the terms: 18 + 20 + -12y + 4y = 0 Combine like terms: 18 + 20 = 38 38 + -12y + 4y = 0 Combine like terms: -12y + 4y = -8y 38 + -8y = 0 Solving 38 + -8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -8y = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -8y = 0 + -38 -8y = 0 + -38 Combine like terms: 0 + -38 = -38 -8y = -38 Divide each side by '-8'. y = 4.75 Simplifying y = 4.75
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