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Simplifying 1.2(y + -10) = -2.8(y + -9) Reorder the terms: 1.2(-10 + y) = -2.8(y + -9) (-10 * 1.2 + y * 1.2) = -2.8(y + -9) (-12 + 1.2y) = -2.8(y + -9) Reorder the terms: -12 + 1.2y = -2.8(-9 + y) -12 + 1.2y = (-9 * -2.8 + y * -2.8) -12 + 1.2y = (25.2 + -2.8y) Solving -12 + 1.2y = 25.2 + -2.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2.8y' to each side of the equation. -12 + 1.2y + 2.8y = 25.2 + -2.8y + 2.8y Combine like terms: 1.2y + 2.8y = 4y -12 + 4y = 25.2 + -2.8y + 2.8y Combine like terms: -2.8y + 2.8y = 0.0 -12 + 4y = 25.2 + 0.0 -12 + 4y = 25.2 Add '12' to each side of the equation. -12 + 12 + 4y = 25.2 + 12 Combine like terms: -12 + 12 = 0 0 + 4y = 25.2 + 12 4y = 25.2 + 12 Combine like terms: 25.2 + 12 = 37.2 4y = 37.2 Divide each side by '4'. y = 9.3 Simplifying y = 9.3
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