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Simplifying 3(y + -3) = 5(2y + 1) Reorder the terms: 3(-3 + y) = 5(2y + 1) (-3 * 3 + y * 3) = 5(2y + 1) (-9 + 3y) = 5(2y + 1) Reorder the terms: -9 + 3y = 5(1 + 2y) -9 + 3y = (1 * 5 + 2y * 5) -9 + 3y = (5 + 10y) Solving -9 + 3y = 5 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -9 + 3y + -10y = 5 + 10y + -10y Combine like terms: 3y + -10y = -7y -9 + -7y = 5 + 10y + -10y Combine like terms: 10y + -10y = 0 -9 + -7y = 5 + 0 -9 + -7y = 5 Add '9' to each side of the equation. -9 + 9 + -7y = 5 + 9 Combine like terms: -9 + 9 = 0 0 + -7y = 5 + 9 -7y = 5 + 9 Combine like terms: 5 + 9 = 14 -7y = 14 Divide each side by '-7'. y = -2 Simplifying y = -2
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