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Simplifying -4(2 + -1y) + 3t = 3(y + -4) (2 * -4 + -1y * -4) + 3t = 3(y + -4) (-8 + 4y) + 3t = 3(y + -4) Reorder the terms: -8 + 3t + 4y = 3(y + -4) Reorder the terms: -8 + 3t + 4y = 3(-4 + y) -8 + 3t + 4y = (-4 * 3 + y * 3) -8 + 3t + 4y = (-12 + 3y) Solving -8 + 3t + 4y = -12 + 3y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 3t + 8 + 4y = -12 + 8 + 3y Reorder the terms: -8 + 8 + 3t + 4y = -12 + 8 + 3y Combine like terms: -8 + 8 = 0 0 + 3t + 4y = -12 + 8 + 3y 3t + 4y = -12 + 8 + 3y Combine like terms: -12 + 8 = -4 3t + 4y = -4 + 3y Add '-4y' to each side of the equation. 3t + 4y + -4y = -4 + 3y + -4y Combine like terms: 4y + -4y = 0 3t + 0 = -4 + 3y + -4y 3t = -4 + 3y + -4y Combine like terms: 3y + -4y = -1y 3t = -4 + -1y Divide each side by '3'. t = -1.333333333 + -0.3333333333y Simplifying t = -1.333333333 + -0.3333333333y
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