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Simplifying 4y + -40 = 7(-2y + 2) Reorder the terms: -40 + 4y = 7(-2y + 2) Reorder the terms: -40 + 4y = 7(2 + -2y) -40 + 4y = (2 * 7 + -2y * 7) -40 + 4y = (14 + -14y) Solving -40 + 4y = 14 + -14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14y' to each side of the equation. -40 + 4y + 14y = 14 + -14y + 14y Combine like terms: 4y + 14y = 18y -40 + 18y = 14 + -14y + 14y Combine like terms: -14y + 14y = 0 -40 + 18y = 14 + 0 -40 + 18y = 14 Add '40' to each side of the equation. -40 + 40 + 18y = 14 + 40 Combine like terms: -40 + 40 = 0 0 + 18y = 14 + 40 18y = 14 + 40 Combine like terms: 14 + 40 = 54 18y = 54 Divide each side by '18'. y = 3 Simplifying y = 3
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