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Simplifying 5(3y + -3) + 6 = 4(6y + -5) + 4 Reorder the terms: 5(-3 + 3y) + 6 = 4(6y + -5) + 4 (-3 * 5 + 3y * 5) + 6 = 4(6y + -5) + 4 (-15 + 15y) + 6 = 4(6y + -5) + 4 Reorder the terms: -15 + 6 + 15y = 4(6y + -5) + 4 Combine like terms: -15 + 6 = -9 -9 + 15y = 4(6y + -5) + 4 Reorder the terms: -9 + 15y = 4(-5 + 6y) + 4 -9 + 15y = (-5 * 4 + 6y * 4) + 4 -9 + 15y = (-20 + 24y) + 4 Reorder the terms: -9 + 15y = -20 + 4 + 24y Combine like terms: -20 + 4 = -16 -9 + 15y = -16 + 24y Solving -9 + 15y = -16 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -9 + 15y + -24y = -16 + 24y + -24y Combine like terms: 15y + -24y = -9y -9 + -9y = -16 + 24y + -24y Combine like terms: 24y + -24y = 0 -9 + -9y = -16 + 0 -9 + -9y = -16 Add '9' to each side of the equation. -9 + 9 + -9y = -16 + 9 Combine like terms: -9 + 9 = 0 0 + -9y = -16 + 9 -9y = -16 + 9 Combine like terms: -16 + 9 = -7 -9y = -7 Divide each side by '-9'. y = 0.7777777778 Simplifying y = 0.7777777778
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