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Simplifying 5(2y + 3) = 9(3y + -21) Reorder the terms: 5(3 + 2y) = 9(3y + -21) (3 * 5 + 2y * 5) = 9(3y + -21) (15 + 10y) = 9(3y + -21) Reorder the terms: 15 + 10y = 9(-21 + 3y) 15 + 10y = (-21 * 9 + 3y * 9) 15 + 10y = (-189 + 27y) Solving 15 + 10y = -189 + 27y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-27y' to each side of the equation. 15 + 10y + -27y = -189 + 27y + -27y Combine like terms: 10y + -27y = -17y 15 + -17y = -189 + 27y + -27y Combine like terms: 27y + -27y = 0 15 + -17y = -189 + 0 15 + -17y = -189 Add '-15' to each side of the equation. 15 + -15 + -17y = -189 + -15 Combine like terms: 15 + -15 = 0 0 + -17y = -189 + -15 -17y = -189 + -15 Combine like terms: -189 + -15 = -204 -17y = -204 Divide each side by '-17'. y = 12 Simplifying y = 12
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