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Simplifying 5y + 2 = 2(3y + -4) Reorder the terms: 2 + 5y = 2(3y + -4) Reorder the terms: 2 + 5y = 2(-4 + 3y) 2 + 5y = (-4 * 2 + 3y * 2) 2 + 5y = (-8 + 6y) Solving 2 + 5y = -8 + 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 + 5y + -6y = -8 + 6y + -6y Combine like terms: 5y + -6y = -1y 2 + -1y = -8 + 6y + -6y Combine like terms: 6y + -6y = 0 2 + -1y = -8 + 0 2 + -1y = -8 Add '-2' to each side of the equation. 2 + -2 + -1y = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = -8 + -2 -1y = -8 + -2 Combine like terms: -8 + -2 = -10 -1y = -10 Divide each side by '-1'. y = 10 Simplifying y = 10
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