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Simplifying 2 + 3(y + -2) = 2(y + -6) Reorder the terms: 2 + 3(-2 + y) = 2(y + -6) 2 + (-2 * 3 + y * 3) = 2(y + -6) 2 + (-6 + 3y) = 2(y + -6) Combine like terms: 2 + -6 = -4 -4 + 3y = 2(y + -6) Reorder the terms: -4 + 3y = 2(-6 + y) -4 + 3y = (-6 * 2 + y * 2) -4 + 3y = (-12 + 2y) Solving -4 + 3y = -12 + 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 = -12 + 2y + -2y Combine like terms: 3y + -2y = 1y -4 + 1y = -12 + 2y + -2y Combine like terms: 2y + -2y = 0 -4 + 1y = -12 + 0 -4 + 1y = -12 Add '4' to each side of the equation. -4 + 4 + 1y = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 1y = -12 + 4 1y = -12 + 4 Combine like terms: -12 + 4 = -8 1y = -8 Divide each side by '1'. y = -8 Simplifying y = -8
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