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Simplifying -34 + 8y + 4 = 2(5y + -4) + -8 Reorder the terms: -34 + 4 + 8y = 2(5y + -4) + -8 Combine like terms: -34 + 4 = -30 -30 + 8y = 2(5y + -4) + -8 Reorder the terms: -30 + 8y = 2(-4 + 5y) + -8 -30 + 8y = (-4 * 2 + 5y * 2) + -8 -30 + 8y = (-8 + 10y) + -8 Reorder the terms: -30 + 8y = -8 + -8 + 10y Combine like terms: -8 + -8 = -16 -30 + 8y = -16 + 10y Solving -30 + 8y = -16 + 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. -30 + 8y + -10y = -16 + 10y + -10y Combine like terms: 8y + -10y = -2y -30 + -2y = -16 + 10y + -10y Combine like terms: 10y + -10y = 0 -30 + -2y = -16 + 0 -30 + -2y = -16 Add '30' to each side of the equation. -30 + 30 + -2y = -16 + 30 Combine like terms: -30 + 30 = 0 0 + -2y = -16 + 30 -2y = -16 + 30 Combine like terms: -16 + 30 = 14 -2y = 14 Divide each side by '-2'. y = -7 Simplifying y = -7
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