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Simplifying 4(2y + -10) = 3(2y + 8) Reorder the terms: 4(-10 + 2y) = 3(2y + 8) (-10 * 4 + 2y * 4) = 3(2y + 8) (-40 + 8y) = 3(2y + 8) Reorder the terms: -40 + 8y = 3(8 + 2y) -40 + 8y = (8 * 3 + 2y * 3) -40 + 8y = (24 + 6y) Solving -40 + 8y = 24 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -40 + 8y + -6y = 24 + 6y + -6y Combine like terms: 8y + -6y = 2y -40 + 2y = 24 + 6y + -6y Combine like terms: 6y + -6y = 0 -40 + 2y = 24 + 0 -40 + 2y = 24 Add '40' to each side of the equation. -40 + 40 + 2y = 24 + 40 Combine like terms: -40 + 40 = 0 0 + 2y = 24 + 40 2y = 24 + 40 Combine like terms: 24 + 40 = 64 2y = 64 Divide each side by '2'. y = 32 Simplifying y = 32
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