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Simplifying 7(4y + -6) + 3(4y + -5) = 0 Reorder the terms: 7(-6 + 4y) + 3(4y + -5) = 0 (-6 * 7 + 4y * 7) + 3(4y + -5) = 0 (-42 + 28y) + 3(4y + -5) = 0 Reorder the terms: -42 + 28y + 3(-5 + 4y) = 0 -42 + 28y + (-5 * 3 + 4y * 3) = 0 -42 + 28y + (-15 + 12y) = 0 Reorder the terms: -42 + -15 + 28y + 12y = 0 Combine like terms: -42 + -15 = -57 -57 + 28y + 12y = 0 Combine like terms: 28y + 12y = 40y -57 + 40y = 0 Solving -57 + 40y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + 40y = 0 + 57 Combine like terms: -57 + 57 = 0 0 + 40y = 0 + 57 40y = 0 + 57 Combine like terms: 0 + 57 = 57 40y = 57 Divide each side by '40'. y = 1.425 Simplifying y = 1.425
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