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Simplifying -6(7 + -3y) + 4y = 10(2y + -4) (7 * -6 + -3y * -6) + 4y = 10(2y + -4) (-42 + 18y) + 4y = 10(2y + -4) Combine like terms: 18y + 4y = 22y -42 + 22y = 10(2y + -4) Reorder the terms: -42 + 22y = 10(-4 + 2y) -42 + 22y = (-4 * 10 + 2y * 10) -42 + 22y = (-40 + 20y) Solving -42 + 22y = -40 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -42 + 22y + -20y = -40 + 20y + -20y Combine like terms: 22y + -20y = 2y -42 + 2y = -40 + 20y + -20y Combine like terms: 20y + -20y = 0 -42 + 2y = -40 + 0 -42 + 2y = -40 Add '42' to each side of the equation. -42 + 42 + 2y = -40 + 42 Combine like terms: -42 + 42 = 0 0 + 2y = -40 + 42 2y = -40 + 42 Combine like terms: -40 + 42 = 2 2y = 2 Divide each side by '2'. y = 1 Simplifying y = 1
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