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Simplifying 4(5y + -3.3) + 11.7 = 5(3y + -0.3) Reorder the terms: 4(-3.3 + 5y) + 11.7 = 5(3y + -0.3) (-3.3 * 4 + 5y * 4) + 11.7 = 5(3y + -0.3) (-13.2 + 20y) + 11.7 = 5(3y + -0.3) Reorder the terms: -13.2 + 11.7 + 20y = 5(3y + -0.3) Combine like terms: -13.2 + 11.7 = -1.5 -1.5 + 20y = 5(3y + -0.3) Reorder the terms: -1.5 + 20y = 5(-0.3 + 3y) -1.5 + 20y = (-0.3 * 5 + 3y * 5) -1.5 + 20y = (-1.5 + 15y) Add '1.5' to each side of the equation. -1.5 + 1.5 + 20y = -1.5 + 1.5 + 15y Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 20y = -1.5 + 1.5 + 15y 20y = -1.5 + 1.5 + 15y Combine like terms: -1.5 + 1.5 = 0.0 20y = 0.0 + 15y 20y = 15y Solving 20y = 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 20y + -15y = 15y + -15y Combine like terms: 20y + -15y = 5y 5y = 15y + -15y Combine like terms: 15y + -15y = 0 5y = 0 Divide each side by '5'. y = 0 Simplifying y = 0
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