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Simplifying 6.3(y + -16) + -33.9 = 3.8(3y + -4.2) Reorder the terms: 6.3(-16 + y) + -33.9 = 3.8(3y + -4.2) (-16 * 6.3 + y * 6.3) + -33.9 = 3.8(3y + -4.2) (-100.8 + 6.3y) + -33.9 = 3.8(3y + -4.2) Reorder the terms: -100.8 + -33.9 + 6.3y = 3.8(3y + -4.2) Combine like terms: -100.8 + -33.9 = -134.7 -134.7 + 6.3y = 3.8(3y + -4.2) Reorder the terms: -134.7 + 6.3y = 3.8(-4.2 + 3y) -134.7 + 6.3y = (-4.2 * 3.8 + 3y * 3.8) -134.7 + 6.3y = (-15.96 + 11.4y) Solving -134.7 + 6.3y = -15.96 + 11.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11.4y' to each side of the equation. -134.7 + 6.3y + -11.4y = -15.96 + 11.4y + -11.4y Combine like terms: 6.3y + -11.4y = -5.1y -134.7 + -5.1y = -15.96 + 11.4y + -11.4y Combine like terms: 11.4y + -11.4y = 0.0 -134.7 + -5.1y = -15.96 + 0.0 -134.7 + -5.1y = -15.96 Add '134.7' to each side of the equation. -134.7 + 134.7 + -5.1y = -15.96 + 134.7 Combine like terms: -134.7 + 134.7 = 0.0 0.0 + -5.1y = -15.96 + 134.7 -5.1y = -15.96 + 134.7 Combine like terms: -15.96 + 134.7 = 118.74 -5.1y = 118.74 Divide each side by '-5.1'. y = -23.28235294 Simplifying y = -23.28235294
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