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Simplifying -53 + 10y + 4 = 4(4y + -2) + -5 Reorder the terms: -53 + 4 + 10y = 4(4y + -2) + -5 Combine like terms: -53 + 4 = -49 -49 + 10y = 4(4y + -2) + -5 Reorder the terms: -49 + 10y = 4(-2 + 4y) + -5 -49 + 10y = (-2 * 4 + 4y * 4) + -5 -49 + 10y = (-8 + 16y) + -5 Reorder the terms: -49 + 10y = -8 + -5 + 16y Combine like terms: -8 + -5 = -13 -49 + 10y = -13 + 16y Solving -49 + 10y = -13 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -49 + 10y + -16y = -13 + 16y + -16y Combine like terms: 10y + -16y = -6y -49 + -6y = -13 + 16y + -16y Combine like terms: 16y + -16y = 0 -49 + -6y = -13 + 0 -49 + -6y = -13 Add '49' to each side of the equation. -49 + 49 + -6y = -13 + 49 Combine like terms: -49 + 49 = 0 0 + -6y = -13 + 49 -6y = -13 + 49 Combine like terms: -13 + 49 = 36 -6y = 36 Divide each side by '-6'. y = -6 Simplifying y = -6
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