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Simplifying 4(2y + -1) + -3 = 3 + -2y Reorder the terms: 4(-1 + 2y) + -3 = 3 + -2y (-1 * 4 + 2y * 4) + -3 = 3 + -2y (-4 + 8y) + -3 = 3 + -2y Reorder the terms: -4 + -3 + 8y = 3 + -2y Combine like terms: -4 + -3 = -7 -7 + 8y = 3 + -2y Solving -7 + 8y = 3 + -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. -7 + 8y + 2y = 3 + -2y + 2y Combine like terms: 8y + 2y = 10y -7 + 10y = 3 + -2y + 2y Combine like terms: -2y + 2y = 0 -7 + 10y = 3 + 0 -7 + 10y = 3 Add '7' to each side of the equation. -7 + 7 + 10y = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 10y = 3 + 7 10y = 3 + 7 Combine like terms: 3 + 7 = 10 10y = 10 Divide each side by '10'. y = 1 Simplifying y = 1
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