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Simplifying 2y + -22 = 4(5y + -1) Reorder the terms: -22 + 2y = 4(5y + -1) Reorder the terms: -22 + 2y = 4(-1 + 5y) -22 + 2y = (-1 * 4 + 5y * 4) -22 + 2y = (-4 + 20y) Solving -22 + 2y = -4 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -22 + 2y + -20y = -4 + 20y + -20y Combine like terms: 2y + -20y = -18y -22 + -18y = -4 + 20y + -20y Combine like terms: 20y + -20y = 0 -22 + -18y = -4 + 0 -22 + -18y = -4 Add '22' to each side of the equation. -22 + 22 + -18y = -4 + 22 Combine like terms: -22 + 22 = 0 0 + -18y = -4 + 22 -18y = -4 + 22 Combine like terms: -4 + 22 = 18 -18y = 18 Divide each side by '-18'. y = -1 Simplifying y = -1
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