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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 = -2y 2 + -2y = -10 + 6y + -6y Combine like terms: 6y + -6y = 0 2 + -2y = -10 + 0 2 + -2y = -10 Add '-2' to each side of the equation. 2 + -2 + -2y = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -2y = -10 + -2 -2y = -10 + -2 Combine like terms: -10 + -2 = -12 -2y = -12 Divide each side by '-2'. y = 6 Simplifying y = 6
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