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Simplifying -4(2y + -1y) + 3y = 3(y + -4) Combine like terms: 2y + -1y = 1y -4(1y) + 3y = 3(y + -4) Remove parenthesis around (1y) -4 * 1y + 3y = 3(y + -4) Multiply -4 * 1 -4y + 3y = 3(y + -4) Combine like terms: -4y + 3y = -1y -1y = 3(y + -4) Reorder the terms: -1y = 3(-4 + y) -1y = (-4 * 3 + y * 3) -1y = (-12 + 3y) Solving -1y = -12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -1y + -3y = -12 + 3y + -3y Combine like terms: -1y + -3y = -4y -4y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 -4y = -12 + 0 -4y = -12 Divide each side by '-4'. y = 3 Simplifying y = 3
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