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Simplifying -4(y + -3y) + 6 = -5(2y + -1y) + 4 + 12y Combine like terms: y + -3y = -2y -4(-2y) + 6 = -5(2y + -1y) + 4 + 12y Remove parenthesis around (-2y) -4 * -2y + 6 = -5(2y + -1y) + 4 + 12y Multiply -4 * -2 8y + 6 = -5(2y + -1y) + 4 + 12y Reorder the terms: 6 + 8y = -5(2y + -1y) + 4 + 12y Combine like terms: 2y + -1y = 1y 6 + 8y = -5(1y) + 4 + 12y Remove parenthesis around (1y) 6 + 8y = -5 * 1y + 4 + 12y Multiply -5 * 1 6 + 8y = -5y + 4 + 12y Reorder the terms: 6 + 8y = 4 + -5y + 12y Combine like terms: -5y + 12y = 7y 6 + 8y = 4 + 7y Solving 6 + 8y = 4 + 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. 6 + 8y + -7y = 4 + 7y + -7y Combine like terms: 8y + -7y = 1y 6 + 1y = 4 + 7y + -7y Combine like terms: 7y + -7y = 0 6 + 1y = 4 + 0 6 + 1y = 4 Add '-6' to each side of the equation. 6 + -6 + 1y = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 1y = 4 + -6 1y = 4 + -6 Combine like terms: 4 + -6 = -2 1y = -2 Divide each side by '1'. y = -2 Simplifying y = -2
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