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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 = -11y -2 + -11y = -4(y + -3) Reorder the terms: -2 + -11y = -4(-3 + y) -2 + -11y = (-3 * -4 + y * -4) -2 + -11y = (12 + -4y) Solving -2 + -11y = 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 + -11y + 4y = 12 + -4y + 4y Combine like terms: -11y + 4y = -7y -2 + -7y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 -2 + -7y = 12 + 0 -2 + -7y = 12 Add '2' to each side of the equation. -2 + 2 + -7y = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -7y = 12 + 2 -7y = 12 + 2 Combine like terms: 12 + 2 = 14 -7y = 14 Divide each side by '-7'. y = -2 Simplifying y = -2
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