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Simplifying -4t + 10 = -2(3y + 1) Reorder the terms: 10 + -4t = -2(3y + 1) Reorder the terms: 10 + -4t = -2(1 + 3y) 10 + -4t = (1 * -2 + 3y * -2) 10 + -4t = (-2 + -6y) Solving 10 + -4t = -2 + -6y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -4t = -2 + -10 + -6y Combine like terms: 10 + -10 = 0 0 + -4t = -2 + -10 + -6y -4t = -2 + -10 + -6y Combine like terms: -2 + -10 = -12 -4t = -12 + -6y Divide each side by '-4'. t = 3 + 1.5y Simplifying t = 3 + 1.5y
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