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Simplifying -1(3 + 4) + 4(y + -6) = 120 + -1y Combine like terms: 3 + 4 = 7 -1(7) + 4(y + -6) = 120 + -1y Multiply -1 * 7 -7 + 4(y + -6) = 120 + -1y Reorder the terms: -7 + 4(-6 + y) = 120 + -1y -7 + (-6 * 4 + y * 4) = 120 + -1y -7 + (-24 + 4y) = 120 + -1y Combine like terms: -7 + -24 = -31 -31 + 4y = 120 + -1y Solving -31 + 4y = 120 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -31 + 4y + y = 120 + -1y + y Combine like terms: 4y + y = 5y -31 + 5y = 120 + -1y + y Combine like terms: -1y + y = 0 -31 + 5y = 120 + 0 -31 + 5y = 120 Add '31' to each side of the equation. -31 + 31 + 5y = 120 + 31 Combine like terms: -31 + 31 = 0 0 + 5y = 120 + 31 5y = 120 + 31 Combine like terms: 120 + 31 = 151 5y = 151 Divide each side by '5'. y = 30.2 Simplifying y = 30.2
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