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Simplifying 3(3y + -5) = 4(2y) Reorder the terms: 3(-5 + 3y) = 4(2y) (-5 * 3 + 3y * 3) = 4(2y) (-15 + 9y) = 4(2y) Remove parenthesis around (2y) -15 + 9y = 4 * 2y Multiply 4 * 2 -15 + 9y = 8y Solving -15 + 9y = 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -15 + 9y + -8y = 8y + -8y Combine like terms: 9y + -8y = 1y -15 + 1y = 8y + -8y Combine like terms: 8y + -8y = 0 -15 + 1y = 0 Add '15' to each side of the equation. -15 + 15 + 1y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1y = 0 + 15 1y = 0 + 15 Combine like terms: 0 + 15 = 15 1y = 15 Divide each side by '1'. y = 15 Simplifying y = 15
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