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Simplifying 5(3 + -2y) = 8 + -2(3y + -6) (3 * 5 + -2y * 5) = 8 + -2(3y + -6) (15 + -10y) = 8 + -2(3y + -6) Reorder the terms: 15 + -10y = 8 + -2(-6 + 3y) 15 + -10y = 8 + (-6 * -2 + 3y * -2) 15 + -10y = 8 + (12 + -6y) Combine like terms: 8 + 12 = 20 15 + -10y = 20 + -6y Solving 15 + -10y = 20 + -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. 15 + -10y + 6y = 20 + -6y + 6y Combine like terms: -10y + 6y = -4y 15 + -4y = 20 + -6y + 6y Combine like terms: -6y + 6y = 0 15 + -4y = 20 + 0 15 + -4y = 20 Add '-15' to each side of the equation. 15 + -15 + -4y = 20 + -15 Combine like terms: 15 + -15 = 0 0 + -4y = 20 + -15 -4y = 20 + -15 Combine like terms: 20 + -15 = 5 -4y = 5 Divide each side by '-4'. y = -1.25 Simplifying y = -1.25
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