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Simplifying -4(2 + -1y) + 3 = 3(y + -4) (2 * -4 + -1y * -4) + 3 = 3(y + -4) (-8 + 4y) + 3 = 3(y + -4) Reorder the terms: -8 + 3 + 4y = 3(y + -4) Combine like terms: -8 + 3 = -5 -5 + 4y = 3(y + -4) Reorder the terms: -5 + 4y = 3(-4 + y) -5 + 4y = (-4 * 3 + y * 3) -5 + 4y = (-12 + 3y) Solving -5 + 4y = -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. -5 + 4y + -3y = -12 + 3y + -3y Combine like terms: 4y + -3y = 1y -5 + 1y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 -5 + 1y = -12 + 0 -5 + 1y = -12 Add '5' to each side of the equation. -5 + 5 + 1y = -12 + 5 Combine like terms: -5 + 5 = 0 0 + 1y = -12 + 5 1y = -12 + 5 Combine like terms: -12 + 5 = -7 1y = -7 Divide each side by '1'. y = -7 Simplifying y = -7
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