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Simplifying -107 + 8y + 4 = 6(3y + -3) + -5 Reorder the terms: -107 + 4 + 8y = 6(3y + -3) + -5 Combine like terms: -107 + 4 = -103 -103 + 8y = 6(3y + -3) + -5 Reorder the terms: -103 + 8y = 6(-3 + 3y) + -5 -103 + 8y = (-3 * 6 + 3y * 6) + -5 -103 + 8y = (-18 + 18y) + -5 Reorder the terms: -103 + 8y = -18 + -5 + 18y Combine like terms: -18 + -5 = -23 -103 + 8y = -23 + 18y Solving -103 + 8y = -23 + 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. -103 + 8y + -18y = -23 + 18y + -18y Combine like terms: 8y + -18y = -10y -103 + -10y = -23 + 18y + -18y Combine like terms: 18y + -18y = 0 -103 + -10y = -23 + 0 -103 + -10y = -23 Add '103' to each side of the equation. -103 + 103 + -10y = -23 + 103 Combine like terms: -103 + 103 = 0 0 + -10y = -23 + 103 -10y = -23 + 103 Combine like terms: -23 + 103 = 80 -10y = 80 Divide each side by '-10'. y = -8 Simplifying y = -8
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