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