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Simplifying 7(2y + -3) = 2(4y + -10) Reorder the terms: 7(-3 + 2y) = 2(4y + -10) (-3 * 7 + 2y * 7) = 2(4y + -10) (-21 + 14y) = 2(4y + -10) Reorder the terms: -21 + 14y = 2(-10 + 4y) -21 + 14y = (-10 * 2 + 4y * 2) -21 + 14y = (-20 + 8y) Solving -21 + 14y = -20 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -21 + 14y + -8y = -20 + 8y + -8y Combine like terms: 14y + -8y = 6y -21 + 6y = -20 + 8y + -8y Combine like terms: 8y + -8y = 0 -21 + 6y = -20 + 0 -21 + 6y = -20 Add '21' to each side of the equation. -21 + 21 + 6y = -20 + 21 Combine like terms: -21 + 21 = 0 0 + 6y = -20 + 21 6y = -20 + 21 Combine like terms: -20 + 21 = 1 6y = 1 Divide each side by '6'. y = 0.1666666667 Simplifying y = 0.1666666667
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