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Simplifying 18 + 8(0.25y + -1.75) = 2(3y + -4) Reorder the terms: 18 + 8(-1.75 + 0.25y) = 2(3y + -4) 18 + (-1.75 * 8 + 0.25y * 8) = 2(3y + -4) 18 + (-14 + 2y) = 2(3y + -4) Combine like terms: 18 + -14 = 4 4 + 2y = 2(3y + -4) Reorder the terms: 4 + 2y = 2(-4 + 3y) 4 + 2y = (-4 * 2 + 3y * 2) 4 + 2y = (-8 + 6y) Solving 4 + 2y = -8 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 4 + 2y + -6y = -8 + 6y + -6y Combine like terms: 2y + -6y = -4y 4 + -4y = -8 + 6y + -6y Combine like terms: 6y + -6y = 0 4 + -4y = -8 + 0 4 + -4y = -8 Add '-4' to each side of the equation. 4 + -4 + -4y = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -4y = -8 + -4 -4y = -8 + -4 Combine like terms: -8 + -4 = -12 -4y = -12 Divide each side by '-4'. y = 3 Simplifying y = 3
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