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Simplifying 4[3 + -2y] = 15 + -7y [3 * 4 + -2y * 4] = 15 + -7y [12 + -8y] = 15 + -7y Solving 12 + -8y = 15 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 12 + -8y + 7y = 15 + -7y + 7y Combine like terms: -8y + 7y = -1y 12 + -1y = 15 + -7y + 7y Combine like terms: -7y + 7y = 0 12 + -1y = 15 + 0 12 + -1y = 15 Add '-12' to each side of the equation. 12 + -12 + -1y = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = 15 + -12 -1y = 15 + -12 Combine like terms: 15 + -12 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3
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