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Simplifying -4(y + -2y) + 2 = -3(5 + -1y) + 7 + 15y Combine like terms: y + -2y = -1y -4(-1y) + 2 = -3(5 + -1y) + 7 + 15y Remove parenthesis around (-1y) -4 * -1y + 2 = -3(5 + -1y) + 7 + 15y Multiply -4 * -1 4y + 2 = -3(5 + -1y) + 7 + 15y Reorder the terms: 2 + 4y = -3(5 + -1y) + 7 + 15y 2 + 4y = (5 * -3 + -1y * -3) + 7 + 15y 2 + 4y = (-15 + 3y) + 7 + 15y Reorder the terms: 2 + 4y = -15 + 7 + 3y + 15y Combine like terms: -15 + 7 = -8 2 + 4y = -8 + 3y + 15y Combine like terms: 3y + 15y = 18y 2 + 4y = -8 + 18y Solving 2 + 4y = -8 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 2 + 4y + -18y = -8 + 18y + -18y Combine like terms: 4y + -18y = -14y 2 + -14y = -8 + 18y + -18y Combine like terms: 18y + -18y = 0 2 + -14y = -8 + 0 2 + -14y = -8 Add '-2' to each side of the equation. 2 + -2 + -14y = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -14y = -8 + -2 -14y = -8 + -2 Combine like terms: -8 + -2 = -10 -14y = -10 Divide each side by '-14'. y = 0.7142857143 Simplifying y = 0.7142857143
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