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Simplifying 7(5y + -6) = 2 + -4y Reorder the terms: 7(-6 + 5y) = 2 + -4y (-6 * 7 + 5y * 7) = 2 + -4y (-42 + 35y) = 2 + -4y Solving -42 + 35y = 2 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -42 + 35y + 4y = 2 + -4y + 4y Combine like terms: 35y + 4y = 39y -42 + 39y = 2 + -4y + 4y Combine like terms: -4y + 4y = 0 -42 + 39y = 2 + 0 -42 + 39y = 2 Add '42' to each side of the equation. -42 + 42 + 39y = 2 + 42 Combine like terms: -42 + 42 = 0 0 + 39y = 2 + 42 39y = 2 + 42 Combine like terms: 2 + 42 = 44 39y = 44 Divide each side by '39'. y = 1.128205128 Simplifying y = 1.128205128
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