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Simplifying -70 + 15y + 7 = 6(3y + -5) + -6 Reorder the terms: -70 + 7 + 15y = 6(3y + -5) + -6 Combine like terms: -70 + 7 = -63 -63 + 15y = 6(3y + -5) + -6 Reorder the terms: -63 + 15y = 6(-5 + 3y) + -6 -63 + 15y = (-5 * 6 + 3y * 6) + -6 -63 + 15y = (-30 + 18y) + -6 Reorder the terms: -63 + 15y = -30 + -6 + 18y Combine like terms: -30 + -6 = -36 -63 + 15y = -36 + 18y Solving -63 + 15y = -36 + 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. -63 + 15y + -18y = -36 + 18y + -18y Combine like terms: 15y + -18y = -3y -63 + -3y = -36 + 18y + -18y Combine like terms: 18y + -18y = 0 -63 + -3y = -36 + 0 -63 + -3y = -36 Add '63' to each side of the equation. -63 + 63 + -3y = -36 + 63 Combine like terms: -63 + 63 = 0 0 + -3y = -36 + 63 -3y = -36 + 63 Combine like terms: -36 + 63 = 27 -3y = 27 Divide each side by '-3'. y = -9 Simplifying y = -9
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