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Simplifying -2(5y + -6) + 4y = 6 + 3(3y + -2) Reorder the terms: -2(-6 + 5y) + 4y = 6 + 3(3y + -2) (-6 * -2 + 5y * -2) + 4y = 6 + 3(3y + -2) (12 + -10y) + 4y = 6 + 3(3y + -2) Combine like terms: -10y + 4y = -6y 12 + -6y = 6 + 3(3y + -2) Reorder the terms: 12 + -6y = 6 + 3(-2 + 3y) 12 + -6y = 6 + (-2 * 3 + 3y * 3) 12 + -6y = 6 + (-6 + 9y) Combine like terms: 6 + -6 = 0 12 + -6y = 0 + 9y 12 + -6y = 9y Solving 12 + -6y = 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 12 + -6y + -9y = 9y + -9y Combine like terms: -6y + -9y = -15y 12 + -15y = 9y + -9y Combine like terms: 9y + -9y = 0 12 + -15y = 0 Add '-12' to each side of the equation. 12 + -12 + -15y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -15y = 0 + -12 -15y = 0 + -12 Combine like terms: 0 + -12 = -12 -15y = -12 Divide each side by '-15'. y = 0.8 Simplifying y = 0.8
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