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Simplifying 5y + -4(y + 9) = 2y + -3 Reorder the terms: 5y + -4(9 + y) = 2y + -3 5y + (9 * -4 + y * -4) = 2y + -3 5y + (-36 + -4y) = 2y + -3 Reorder the terms: -36 + 5y + -4y = 2y + -3 Combine like terms: 5y + -4y = 1y -36 + 1y = 2y + -3 Reorder the terms: -36 + 1y = -3 + 2y Solving -36 + 1y = -3 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -36 + 1y + -2y = -3 + 2y + -2y Combine like terms: 1y + -2y = -1y -36 + -1y = -3 + 2y + -2y Combine like terms: 2y + -2y = 0 -36 + -1y = -3 + 0 -36 + -1y = -3 Add '36' to each side of the equation. -36 + 36 + -1y = -3 + 36 Combine like terms: -36 + 36 = 0 0 + -1y = -3 + 36 -1y = -3 + 36 Combine like terms: -3 + 36 = 33 -1y = 33 Divide each side by '-1'. y = -33 Simplifying y = -33
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