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Simplifying -49 + 16y + 9 = 4(5y + -4) + -4 Reorder the terms: -49 + 9 + 16y = 4(5y + -4) + -4 Combine like terms: -49 + 9 = -40 -40 + 16y = 4(5y + -4) + -4 Reorder the terms: -40 + 16y = 4(-4 + 5y) + -4 -40 + 16y = (-4 * 4 + 5y * 4) + -4 -40 + 16y = (-16 + 20y) + -4 Reorder the terms: -40 + 16y = -16 + -4 + 20y Combine like terms: -16 + -4 = -20 -40 + 16y = -20 + 20y Solving -40 + 16y = -20 + 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. -40 + 16y + -20y = -20 + 20y + -20y Combine like terms: 16y + -20y = -4y -40 + -4y = -20 + 20y + -20y Combine like terms: 20y + -20y = 0 -40 + -4y = -20 + 0 -40 + -4y = -20 Add '40' to each side of the equation. -40 + 40 + -4y = -20 + 40 Combine like terms: -40 + 40 = 0 0 + -4y = -20 + 40 -4y = -20 + 40 Combine like terms: -20 + 40 = 20 -4y = 20 Divide each side by '-4'. y = -5 Simplifying y = -5
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