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Simplifying 2.1(y + -5) = 3(y + -5) Reorder the terms: 2.1(-5 + y) = 3(y + -5) (-5 * 2.1 + y * 2.1) = 3(y + -5) (-10.5 + 2.1y) = 3(y + -5) Reorder the terms: -10.5 + 2.1y = 3(-5 + y) -10.5 + 2.1y = (-5 * 3 + y * 3) -10.5 + 2.1y = (-15 + 3y) Solving -10.5 + 2.1y = -15 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -10.5 + 2.1y + -3y = -15 + 3y + -3y Combine like terms: 2.1y + -3y = -0.9y -10.5 + -0.9y = -15 + 3y + -3y Combine like terms: 3y + -3y = 0 -10.5 + -0.9y = -15 + 0 -10.5 + -0.9y = -15 Add '10.5' to each side of the equation. -10.5 + 10.5 + -0.9y = -15 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + -0.9y = -15 + 10.5 -0.9y = -15 + 10.5 Combine like terms: -15 + 10.5 = -4.5 -0.9y = -4.5 Divide each side by '-0.9'. y = 5 Simplifying y = 5
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