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Simplifying 5(y + 3) = 6(y + -7) Reorder the terms: 5(3 + y) = 6(y + -7) (3 * 5 + y * 5) = 6(y + -7) (15 + 5y) = 6(y + -7) Reorder the terms: 15 + 5y = 6(-7 + y) 15 + 5y = (-7 * 6 + y * 6) 15 + 5y = (-42 + 6y) Solving 15 + 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. 15 + 5y + -6y = -42 + 6y + -6y Combine like terms: 5y + -6y = -1y 15 + -1y = -42 + 6y + -6y Combine like terms: 6y + -6y = 0 15 + -1y = -42 + 0 15 + -1y = -42 Add '-15' to each side of the equation. 15 + -15 + -1y = -42 + -15 Combine like terms: 15 + -15 = 0 0 + -1y = -42 + -15 -1y = -42 + -15 Combine like terms: -42 + -15 = -57 -1y = -57 Divide each side by '-1'. y = 57 Simplifying y = 57
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