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Simplifying -61 + 2y + 7 = 2(4y + -5) + -8 Reorder the terms: -61 + 7 + 2y = 2(4y + -5) + -8 Combine like terms: -61 + 7 = -54 -54 + 2y = 2(4y + -5) + -8 Reorder the terms: -54 + 2y = 2(-5 + 4y) + -8 -54 + 2y = (-5 * 2 + 4y * 2) + -8 -54 + 2y = (-10 + 8y) + -8 Reorder the terms: -54 + 2y = -10 + -8 + 8y Combine like terms: -10 + -8 = -18 -54 + 2y = -18 + 8y Solving -54 + 2y = -18 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -54 + 2y + -8y = -18 + 8y + -8y Combine like terms: 2y + -8y = -6y -54 + -6y = -18 + 8y + -8y Combine like terms: 8y + -8y = 0 -54 + -6y = -18 + 0 -54 + -6y = -18 Add '54' to each side of the equation. -54 + 54 + -6y = -18 + 54 Combine like terms: -54 + 54 = 0 0 + -6y = -18 + 54 -6y = -18 + 54 Combine like terms: -18 + 54 = 36 -6y = 36 Divide each side by '-6'. y = -6 Simplifying y = -6
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