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Simplifying 4(3y + -4) + 12 = 3(y + -2) + -1(2y + 2) Reorder the terms: 4(-4 + 3y) + 12 = 3(y + -2) + -1(2y + 2) (-4 * 4 + 3y * 4) + 12 = 3(y + -2) + -1(2y + 2) (-16 + 12y) + 12 = 3(y + -2) + -1(2y + 2) Reorder the terms: -16 + 12 + 12y = 3(y + -2) + -1(2y + 2) Combine like terms: -16 + 12 = -4 -4 + 12y = 3(y + -2) + -1(2y + 2) Reorder the terms: -4 + 12y = 3(-2 + y) + -1(2y + 2) -4 + 12y = (-2 * 3 + y * 3) + -1(2y + 2) -4 + 12y = (-6 + 3y) + -1(2y + 2) Reorder the terms: -4 + 12y = -6 + 3y + -1(2 + 2y) -4 + 12y = -6 + 3y + (2 * -1 + 2y * -1) -4 + 12y = -6 + 3y + (-2 + -2y) Reorder the terms: -4 + 12y = -6 + -2 + 3y + -2y Combine like terms: -6 + -2 = -8 -4 + 12y = -8 + 3y + -2y Combine like terms: 3y + -2y = 1y -4 + 12y = -8 + 1y Solving -4 + 12y = -8 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -4 + 12y + -1y = -8 + 1y + -1y Combine like terms: 12y + -1y = 11y -4 + 11y = -8 + 1y + -1y Combine like terms: 1y + -1y = 0 -4 + 11y = -8 + 0 -4 + 11y = -8 Add '4' to each side of the equation. -4 + 4 + 11y = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 11y = -8 + 4 11y = -8 + 4 Combine like terms: -8 + 4 = -4 11y = -4 Divide each side by '11'. y = -0.3636363636 Simplifying y = -0.3636363636
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