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Simplifying 15 = 4(y + -3) + -7y Reorder the terms: 15 = 4(-3 + y) + -7y 15 = (-3 * 4 + y * 4) + -7y 15 = (-12 + 4y) + -7y Combine like terms: 4y + -7y = -3y 15 = -12 + -3y Solving 15 = -12 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 15 + 3y = -12 + -3y + 3y Combine like terms: -3y + 3y = 0 15 + 3y = -12 + 0 15 + 3y = -12 Add '-15' to each side of the equation. 15 + -15 + 3y = -12 + -15 Combine like terms: 15 + -15 = 0 0 + 3y = -12 + -15 3y = -12 + -15 Combine like terms: -12 + -15 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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