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Simplifying -23 + 8y + 7 = 2(5y + -2) + -2 Reorder the terms: -23 + 7 + 8y = 2(5y + -2) + -2 Combine like terms: -23 + 7 = -16 -16 + 8y = 2(5y + -2) + -2 Reorder the terms: -16 + 8y = 2(-2 + 5y) + -2 -16 + 8y = (-2 * 2 + 5y * 2) + -2 -16 + 8y = (-4 + 10y) + -2 Reorder the terms: -16 + 8y = -4 + -2 + 10y Combine like terms: -4 + -2 = -6 -16 + 8y = -6 + 10y Solving -16 + 8y = -6 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -16 + 8y + -10y = -6 + 10y + -10y Combine like terms: 8y + -10y = -2y -16 + -2y = -6 + 10y + -10y Combine like terms: 10y + -10y = 0 -16 + -2y = -6 + 0 -16 + -2y = -6 Add '16' to each side of the equation. -16 + 16 + -2y = -6 + 16 Combine like terms: -16 + 16 = 0 0 + -2y = -6 + 16 -2y = -6 + 16 Combine like terms: -6 + 16 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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