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Simplifying 10(y + -3) + 14 = 8y + -70 Reorder the terms: 10(-3 + y) + 14 = 8y + -70 (-3 * 10 + y * 10) + 14 = 8y + -70 (-30 + 10y) + 14 = 8y + -70 Reorder the terms: -30 + 14 + 10y = 8y + -70 Combine like terms: -30 + 14 = -16 -16 + 10y = 8y + -70 Reorder the terms: -16 + 10y = -70 + 8y Solving -16 + 10y = -70 + 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. -16 + 10y + -8y = -70 + 8y + -8y Combine like terms: 10y + -8y = 2y -16 + 2y = -70 + 8y + -8y Combine like terms: 8y + -8y = 0 -16 + 2y = -70 + 0 -16 + 2y = -70 Add '16' to each side of the equation. -16 + 16 + 2y = -70 + 16 Combine like terms: -16 + 16 = 0 0 + 2y = -70 + 16 2y = -70 + 16 Combine like terms: -70 + 16 = -54 2y = -54 Divide each side by '2'. y = -27 Simplifying y = -27
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