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Simplifying 5(y + 4) = 6(y + -7) Reorder the terms: 5(4 + y) = 6(y + -7) (4 * 5 + y * 5) = 6(y + -7) (20 + 5y) = 6(y + -7) Reorder the terms: 20 + 5y = 6(-7 + y) 20 + 5y = (-7 * 6 + y * 6) 20 + 5y = (-42 + 6y) Solving 20 + 5y = -42 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 20 + 5y + -6y = -42 + 6y + -6y Combine like terms: 5y + -6y = -1y 20 + -1y = -42 + 6y + -6y Combine like terms: 6y + -6y = 0 20 + -1y = -42 + 0 20 + -1y = -42 Add '-20' to each side of the equation. 20 + -20 + -1y = -42 + -20 Combine like terms: 20 + -20 = 0 0 + -1y = -42 + -20 -1y = -42 + -20 Combine like terms: -42 + -20 = -62 -1y = -62 Divide each side by '-1'. y = 62 Simplifying y = 62
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