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Simplifying 4(2y + -6) + -5(y + 7) = 4 Reorder the terms: 4(-6 + 2y) + -5(y + 7) = 4 (-6 * 4 + 2y * 4) + -5(y + 7) = 4 (-24 + 8y) + -5(y + 7) = 4 Reorder the terms: -24 + 8y + -5(7 + y) = 4 -24 + 8y + (7 * -5 + y * -5) = 4 -24 + 8y + (-35 + -5y) = 4 Reorder the terms: -24 + -35 + 8y + -5y = 4 Combine like terms: -24 + -35 = -59 -59 + 8y + -5y = 4 Combine like terms: 8y + -5y = 3y -59 + 3y = 4 Solving -59 + 3y = 4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + 3y = 4 + 59 Combine like terms: -59 + 59 = 0 0 + 3y = 4 + 59 3y = 4 + 59 Combine like terms: 4 + 59 = 63 3y = 63 Divide each side by '3'. y = 21 Simplifying y = 21
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