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Simplifying 2(3y + -5) = 4(-2y + 2) Reorder the terms: 2(-5 + 3y) = 4(-2y + 2) (-5 * 2 + 3y * 2) = 4(-2y + 2) (-10 + 6y) = 4(-2y + 2) Reorder the terms: -10 + 6y = 4(2 + -2y) -10 + 6y = (2 * 4 + -2y * 4) -10 + 6y = (8 + -8y) Solving -10 + 6y = 8 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -10 + 6y + 8y = 8 + -8y + 8y Combine like terms: 6y + 8y = 14y -10 + 14y = 8 + -8y + 8y Combine like terms: -8y + 8y = 0 -10 + 14y = 8 + 0 -10 + 14y = 8 Add '10' to each side of the equation. -10 + 10 + 14y = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 14y = 8 + 10 14y = 8 + 10 Combine like terms: 8 + 10 = 18 14y = 18 Divide each side by '14'. y = 1.285714286 Simplifying y = 1.285714286
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