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Simplifying 5(y + 7) = 6(y + -2) Reorder the terms: 5(7 + y) = 6(y + -2) (7 * 5 + y * 5) = 6(y + -2) (35 + 5y) = 6(y + -2) Reorder the terms: 35 + 5y = 6(-2 + y) 35 + 5y = (-2 * 6 + y * 6) 35 + 5y = (-12 + 6y) Solving 35 + 5y = -12 + 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. 35 + 5y + -6y = -12 + 6y + -6y Combine like terms: 5y + -6y = -1y 35 + -1y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 35 + -1y = -12 + 0 35 + -1y = -12 Add '-35' to each side of the equation. 35 + -35 + -1y = -12 + -35 Combine like terms: 35 + -35 = 0 0 + -1y = -12 + -35 -1y = -12 + -35 Combine like terms: -12 + -35 = -47 -1y = -47 Divide each side by '-1'. y = 47 Simplifying y = 47
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