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Simplifying -4y + 2 = 2(3y + 5) Reorder the terms: 2 + -4y = 2(3y + 5) Reorder the terms: 2 + -4y = 2(5 + 3y) 2 + -4y = (5 * 2 + 3y * 2) 2 + -4y = (10 + 6y) Solving 2 + -4y = 10 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 2 + -4y + -6y = 10 + 6y + -6y Combine like terms: -4y + -6y = -10y 2 + -10y = 10 + 6y + -6y Combine like terms: 6y + -6y = 0 2 + -10y = 10 + 0 2 + -10y = 10 Add '-2' to each side of the equation. 2 + -2 + -10y = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -10y = 10 + -2 -10y = 10 + -2 Combine like terms: 10 + -2 = 8 -10y = 8 Divide each side by '-10'. y = -0.8 Simplifying y = -0.8
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