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Simplifying 8(4 + -1y) + 10 = 10(y + -4) + -3 (4 * 8 + -1y * 8) + 10 = 10(y + -4) + -3 (32 + -8y) + 10 = 10(y + -4) + -3 Reorder the terms: 32 + 10 + -8y = 10(y + -4) + -3 Combine like terms: 32 + 10 = 42 42 + -8y = 10(y + -4) + -3 Reorder the terms: 42 + -8y = 10(-4 + y) + -3 42 + -8y = (-4 * 10 + y * 10) + -3 42 + -8y = (-40 + 10y) + -3 Reorder the terms: 42 + -8y = -40 + -3 + 10y Combine like terms: -40 + -3 = -43 42 + -8y = -43 + 10y Solving 42 + -8y = -43 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 42 + -8y + -10y = -43 + 10y + -10y Combine like terms: -8y + -10y = -18y 42 + -18y = -43 + 10y + -10y Combine like terms: 10y + -10y = 0 42 + -18y = -43 + 0 42 + -18y = -43 Add '-42' to each side of the equation. 42 + -42 + -18y = -43 + -42 Combine like terms: 42 + -42 = 0 0 + -18y = -43 + -42 -18y = -43 + -42 Combine like terms: -43 + -42 = -85 -18y = -85 Divide each side by '-18'. y = 4.722222222 Simplifying y = 4.722222222
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