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Simplifying 10(-4 + 1y) = 2y (-4 * 10 + 1y * 10) = 2y (-40 + 10y) = 2y Solving -40 + 10y = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -40 + 10y + -2y = 2y + -2y Combine like terms: 10y + -2y = 8y -40 + 8y = 2y + -2y Combine like terms: 2y + -2y = 0 -40 + 8y = 0 Add '40' to each side of the equation. -40 + 40 + 8y = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 8y = 0 + 40 8y = 0 + 40 Combine like terms: 0 + 40 = 40 8y = 40 Divide each side by '8'. y = 5 Simplifying y = 5
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