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Simplifying 6(y + -5) + 2y = 16y + -1(70) Reorder the terms: 6(-5 + y) + 2y = 16y + -1(70) (-5 * 6 + y * 6) + 2y = 16y + -1(70) (-30 + 6y) + 2y = 16y + -1(70) Combine like terms: 6y + 2y = 8y -30 + 8y = 16y + -1(70) Multiply -1 * 70 -30 + 8y = 16y + -70 Reorder the terms: -30 + 8y = -70 + 16y Solving -30 + 8y = -70 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -30 + 8y + -16y = -70 + 16y + -16y Combine like terms: 8y + -16y = -8y -30 + -8y = -70 + 16y + -16y Combine like terms: 16y + -16y = 0 -30 + -8y = -70 + 0 -30 + -8y = -70 Add '30' to each side of the equation. -30 + 30 + -8y = -70 + 30 Combine like terms: -30 + 30 = 0 0 + -8y = -70 + 30 -8y = -70 + 30 Combine like terms: -70 + 30 = -40 -8y = -40 Divide each side by '-8'. y = 5 Simplifying y = 5
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