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Simplifying -0.7(y + -14) = 2.1(y + 1) Reorder the terms: -0.7(-14 + y) = 2.1(y + 1) (-14 * -0.7 + y * -0.7) = 2.1(y + 1) (9.8 + -0.7y) = 2.1(y + 1) Reorder the terms: 9.8 + -0.7y = 2.1(1 + y) 9.8 + -0.7y = (1 * 2.1 + y * 2.1) 9.8 + -0.7y = (2.1 + 2.1y) Solving 9.8 + -0.7y = 2.1 + 2.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.1y' to each side of the equation. 9.8 + -0.7y + -2.1y = 2.1 + 2.1y + -2.1y Combine like terms: -0.7y + -2.1y = -2.8y 9.8 + -2.8y = 2.1 + 2.1y + -2.1y Combine like terms: 2.1y + -2.1y = 0.0 9.8 + -2.8y = 2.1 + 0.0 9.8 + -2.8y = 2.1 Add '-9.8' to each side of the equation. 9.8 + -9.8 + -2.8y = 2.1 + -9.8 Combine like terms: 9.8 + -9.8 = 0.0 0.0 + -2.8y = 2.1 + -9.8 -2.8y = 2.1 + -9.8 Combine like terms: 2.1 + -9.8 = -7.7 -2.8y = -7.7 Divide each side by '-2.8'. y = 2.75 Simplifying y = 2.75
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