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Simplifying 5(2y + 3) = 3(3y + -7) Reorder the terms: 5(3 + 2y) = 3(3y + -7) (3 * 5 + 2y * 5) = 3(3y + -7) (15 + 10y) = 3(3y + -7) Reorder the terms: 15 + 10y = 3(-7 + 3y) 15 + 10y = (-7 * 3 + 3y * 3) 15 + 10y = (-21 + 9y) Solving 15 + 10y = -21 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 15 + 10y + -9y = -21 + 9y + -9y Combine like terms: 10y + -9y = 1y 15 + 1y = -21 + 9y + -9y Combine like terms: 9y + -9y = 0 15 + 1y = -21 + 0 15 + 1y = -21 Add '-15' to each side of the equation. 15 + -15 + 1y = -21 + -15 Combine like terms: 15 + -15 = 0 0 + 1y = -21 + -15 1y = -21 + -15 Combine like terms: -21 + -15 = -36 1y = -36 Divide each side by '1'. y = -36 Simplifying y = -36
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