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Simplifying 3(2y + -3) + -5(3y + 2) = 3 + -2(y + 1) Reorder the terms: 3(-3 + 2y) + -5(3y + 2) = 3 + -2(y + 1) (-3 * 3 + 2y * 3) + -5(3y + 2) = 3 + -2(y + 1) (-9 + 6y) + -5(3y + 2) = 3 + -2(y + 1) Reorder the terms: -9 + 6y + -5(2 + 3y) = 3 + -2(y + 1) -9 + 6y + (2 * -5 + 3y * -5) = 3 + -2(y + 1) -9 + 6y + (-10 + -15y) = 3 + -2(y + 1) Reorder the terms: -9 + -10 + 6y + -15y = 3 + -2(y + 1) Combine like terms: -9 + -10 = -19 -19 + 6y + -15y = 3 + -2(y + 1) Combine like terms: 6y + -15y = -9y -19 + -9y = 3 + -2(y + 1) Reorder the terms: -19 + -9y = 3 + -2(1 + y) -19 + -9y = 3 + (1 * -2 + y * -2) -19 + -9y = 3 + (-2 + -2y) Combine like terms: 3 + -2 = 1 -19 + -9y = 1 + -2y Solving -19 + -9y = 1 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -19 + -9y + 2y = 1 + -2y + 2y Combine like terms: -9y + 2y = -7y -19 + -7y = 1 + -2y + 2y Combine like terms: -2y + 2y = 0 -19 + -7y = 1 + 0 -19 + -7y = 1 Add '19' to each side of the equation. -19 + 19 + -7y = 1 + 19 Combine like terms: -19 + 19 = 0 0 + -7y = 1 + 19 -7y = 1 + 19 Combine like terms: 1 + 19 = 20 -7y = 20 Divide each side by '-7'. y = -2.857142857 Simplifying y = -2.857142857
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