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Simplifying 3 + 5(2y + -3) = -2(3y + -3) + 2y Reorder the terms: 3 + 5(-3 + 2y) = -2(3y + -3) + 2y 3 + (-3 * 5 + 2y * 5) = -2(3y + -3) + 2y 3 + (-15 + 10y) = -2(3y + -3) + 2y Combine like terms: 3 + -15 = -12 -12 + 10y = -2(3y + -3) + 2y Reorder the terms: -12 + 10y = -2(-3 + 3y) + 2y -12 + 10y = (-3 * -2 + 3y * -2) + 2y -12 + 10y = (6 + -6y) + 2y Combine like terms: -6y + 2y = -4y -12 + 10y = 6 + -4y Solving -12 + 10y = 6 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -12 + 10y + 4y = 6 + -4y + 4y Combine like terms: 10y + 4y = 14y -12 + 14y = 6 + -4y + 4y Combine like terms: -4y + 4y = 0 -12 + 14y = 6 + 0 -12 + 14y = 6 Add '12' to each side of the equation. -12 + 12 + 14y = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 14y = 6 + 12 14y = 6 + 12 Combine like terms: 6 + 12 = 18 14y = 18 Divide each side by '14'. y = 1.285714286 Simplifying y = 1.285714286
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