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Simplifying -1.6(2y + 15) = 1.2(2y + -10) Reorder the terms: -1.6(15 + 2y) = 1.2(2y + -10) (15 * -1.6 + 2y * -1.6) = 1.2(2y + -10) (-24 + -3.2y) = 1.2(2y + -10) Reorder the terms: -24 + -3.2y = 1.2(-10 + 2y) -24 + -3.2y = (-10 * 1.2 + 2y * 1.2) -24 + -3.2y = (-12 + 2.4y) Solving -24 + -3.2y = -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. -24 + -3.2y + -2.4y = -12 + 2.4y + -2.4y Combine like terms: -3.2y + -2.4y = -5.6y -24 + -5.6y = -12 + 2.4y + -2.4y Combine like terms: 2.4y + -2.4y = 0.0 -24 + -5.6y = -12 + 0.0 -24 + -5.6y = -12 Add '24' to each side of the equation. -24 + 24 + -5.6y = -12 + 24 Combine like terms: -24 + 24 = 0 0 + -5.6y = -12 + 24 -5.6y = -12 + 24 Combine like terms: -12 + 24 = 12 -5.6y = 12 Divide each side by '-5.6'. y = -2.142857143 Simplifying y = -2.142857143
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