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Simplifying 6(2y + -6) + -5y = -0.4(3y + -4) Reorder the terms: 6(-6 + 2y) + -5y = -0.4(3y + -4) (-6 * 6 + 2y * 6) + -5y = -0.4(3y + -4) (-36 + 12y) + -5y = -0.4(3y + -4) Combine like terms: 12y + -5y = 7y -36 + 7y = -0.4(3y + -4) Reorder the terms: -36 + 7y = -0.4(-4 + 3y) -36 + 7y = (-4 * -0.4 + 3y * -0.4) -36 + 7y = (1.6 + -1.2y) Solving -36 + 7y = 1.6 + -1.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.2y' to each side of the equation. -36 + 7y + 1.2y = 1.6 + -1.2y + 1.2y Combine like terms: 7y + 1.2y = 8.2y -36 + 8.2y = 1.6 + -1.2y + 1.2y Combine like terms: -1.2y + 1.2y = 0.0 -36 + 8.2y = 1.6 + 0.0 -36 + 8.2y = 1.6 Add '36' to each side of the equation. -36 + 36 + 8.2y = 1.6 + 36 Combine like terms: -36 + 36 = 0 0 + 8.2y = 1.6 + 36 8.2y = 1.6 + 36 Combine like terms: 1.6 + 36 = 37.6 8.2y = 37.6 Divide each side by '8.2'. y = 4.585365854 Simplifying y = 4.585365854
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