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Simplifying -1.6(27 + 15) = -1.2(2y + -10) Combine like terms: 27 + 15 = 42 -1.6(42) = -1.2(2y + -10) Multiply -1.6 * 42 -67.2 = -1.2(2y + -10) Reorder the terms: -67.2 = -1.2(-10 + 2y) -67.2 = (-10 * -1.2 + 2y * -1.2) -67.2 = (12 + -2.4y) Solving -67.2 = 12 + -2.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2.4y' to each side of the equation. -67.2 + 2.4y = 12 + -2.4y + 2.4y Combine like terms: -2.4y + 2.4y = 0.0 -67.2 + 2.4y = 12 + 0.0 -67.2 + 2.4y = 12 Add '67.2' to each side of the equation. -67.2 + 67.2 + 2.4y = 12 + 67.2 Combine like terms: -67.2 + 67.2 = 0.0 0.0 + 2.4y = 12 + 67.2 2.4y = 12 + 67.2 Combine like terms: 12 + 67.2 = 79.2 2.4y = 79.2 Divide each side by '2.4'. y = 33 Simplifying y = 33
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