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Simplifying 10(2y + -4) = -1(6 + -9y) + 3y Reorder the terms: 10(-4 + 2y) = -1(6 + -9y) + 3y (-4 * 10 + 2y * 10) = -1(6 + -9y) + 3y (-40 + 20y) = -1(6 + -9y) + 3y -40 + 20y = (6 * -1 + -9y * -1) + 3y -40 + 20y = (-6 + 9y) + 3y Combine like terms: 9y + 3y = 12y -40 + 20y = -6 + 12y Solving -40 + 20y = -6 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -40 + 20y + -12y = -6 + 12y + -12y Combine like terms: 20y + -12y = 8y -40 + 8y = -6 + 12y + -12y Combine like terms: 12y + -12y = 0 -40 + 8y = -6 + 0 -40 + 8y = -6 Add '40' to each side of the equation. -40 + 40 + 8y = -6 + 40 Combine like terms: -40 + 40 = 0 0 + 8y = -6 + 40 8y = -6 + 40 Combine like terms: -6 + 40 = 34 8y = 34 Divide each side by '8'. y = 4.25 Simplifying y = 4.25
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