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Simplifying 2(5y + -1) + -1y = 4(y + -3) Reorder the terms: 2(-1 + 5y) + -1y = 4(y + -3) (-1 * 2 + 5y * 2) + -1y = 4(y + -3) (-2 + 10y) + -1y = 4(y + -3) Combine like terms: 10y + -1y = 9y -2 + 9y = 4(y + -3) Reorder the terms: -2 + 9y = 4(-3 + y) -2 + 9y = (-3 * 4 + y * 4) -2 + 9y = (-12 + 4y) Solving -2 + 9y = -12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -2 + 9y + -4y = -12 + 4y + -4y Combine like terms: 9y + -4y = 5y -2 + 5y = -12 + 4y + -4y Combine like terms: 4y + -4y = 0 -2 + 5y = -12 + 0 -2 + 5y = -12 Add '2' to each side of the equation. -2 + 2 + 5y = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 5y = -12 + 2 5y = -12 + 2 Combine like terms: -12 + 2 = -10 5y = -10 Divide each side by '5'. y = -2 Simplifying y = -2
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