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Simplifying 6(5 + -3y) = 4(25 + -2y) (5 * 6 + -3y * 6) = 4(25 + -2y) (30 + -18y) = 4(25 + -2y) 30 + -18y = (25 * 4 + -2y * 4) 30 + -18y = (100 + -8y) Solving 30 + -18y = 100 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 30 + -18y + 8y = 100 + -8y + 8y Combine like terms: -18y + 8y = -10y 30 + -10y = 100 + -8y + 8y Combine like terms: -8y + 8y = 0 30 + -10y = 100 + 0 30 + -10y = 100 Add '-30' to each side of the equation. 30 + -30 + -10y = 100 + -30 Combine like terms: 30 + -30 = 0 0 + -10y = 100 + -30 -10y = 100 + -30 Combine like terms: 100 + -30 = 70 -10y = 70 Divide each side by '-10'. y = -7 Simplifying y = -7
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