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Simplifying -4(3y + 2) = -3(2y + 5) + y Reorder the terms: -4(2 + 3y) = -3(2y + 5) + y (2 * -4 + 3y * -4) = -3(2y + 5) + y (-8 + -12y) = -3(2y + 5) + y Reorder the terms: -8 + -12y = -3(5 + 2y) + y -8 + -12y = (5 * -3 + 2y * -3) + y -8 + -12y = (-15 + -6y) + y Combine like terms: -6y + y = -5y -8 + -12y = -15 + -5y Solving -8 + -12y = -15 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -8 + -12y + 5y = -15 + -5y + 5y Combine like terms: -12y + 5y = -7y -8 + -7y = -15 + -5y + 5y Combine like terms: -5y + 5y = 0 -8 + -7y = -15 + 0 -8 + -7y = -15 Add '8' to each side of the equation. -8 + 8 + -7y = -15 + 8 Combine like terms: -8 + 8 = 0 0 + -7y = -15 + 8 -7y = -15 + 8 Combine like terms: -15 + 8 = -7 -7y = -7 Divide each side by '-7'. y = 1 Simplifying y = 1
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