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Simplifying -57 + 10y + 4 = 6(3y + -3) + -3 Reorder the terms: -57 + 4 + 10y = 6(3y + -3) + -3 Combine like terms: -57 + 4 = -53 -53 + 10y = 6(3y + -3) + -3 Reorder the terms: -53 + 10y = 6(-3 + 3y) + -3 -53 + 10y = (-3 * 6 + 3y * 6) + -3 -53 + 10y = (-18 + 18y) + -3 Reorder the terms: -53 + 10y = -18 + -3 + 18y Combine like terms: -18 + -3 = -21 -53 + 10y = -21 + 18y Solving -53 + 10y = -21 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -53 + 10y + -18y = -21 + 18y + -18y Combine like terms: 10y + -18y = -8y -53 + -8y = -21 + 18y + -18y Combine like terms: 18y + -18y = 0 -53 + -8y = -21 + 0 -53 + -8y = -21 Add '53' to each side of the equation. -53 + 53 + -8y = -21 + 53 Combine like terms: -53 + 53 = 0 0 + -8y = -21 + 53 -8y = -21 + 53 Combine like terms: -21 + 53 = 32 -8y = 32 Divide each side by '-8'. y = -4 Simplifying y = -4
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